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Finding the Fourth Proportional to 8,144.78, 12,278.24 and 7,602.28

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Solution

The fourth proportional to 8,144.78, 12,278.24 and 7,602.28 is: 11,460.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.78 : 12,278.24 = 7,602.28 : x
  2. Step 2: Convert to fraction form
    8,144.78/12,278.24 = 7,602.28/x
  3. Step 3: Cross multiply
    8,144.78x = 12,278.24 × 7,602.28
  4. Step 4: Simplify right side
    8,144.78x = 93,342,618.39
  5. Step 5: Solve for x
    x = 93,342,618.39/8,144.78
  6. Step 6: Final answer
    x = 11,460.42

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.