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Finding the Fourth Proportional to 5,602.78, 8,363.44 and 5,140.54

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Solution

The fourth proportional to 5,602.78, 8,363.44 and 5,140.54 is: 7,673.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.78 : 8,363.44 = 5,140.54 : x
  2. Step 2: Convert to fraction form
    5,602.78/8,363.44 = 5,140.54/x
  3. Step 3: Cross multiply
    5,602.78x = 8,363.44 × 5,140.54
  4. Step 4: Simplify right side
    5,602.78x = 42,992,597.86
  5. Step 5: Solve for x
    x = 42,992,597.86/5,602.78
  6. Step 6: Final answer
    x = 7,673.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.