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Finding the Fourth Proportional to 9,602.76, 13,254.32 and 6,254.76

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Solution

The fourth proportional to 9,602.76, 13,254.32 and 6,254.76 is: 8,633.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.76 : 13,254.32 = 6,254.76 : x
  2. Step 2: Convert to fraction form
    9,602.76/13,254.32 = 6,254.76/x
  3. Step 3: Cross multiply
    9,602.76x = 13,254.32 × 6,254.76
  4. Step 4: Simplify right side
    9,602.76x = 82,902,590.56
  5. Step 5: Solve for x
    x = 82,902,590.56/9,602.76
  6. Step 6: Final answer
    x = 8,633.20

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.