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Finding the Fourth Proportional to 8,549.53, 11,787.38 and 7,010.78

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Solution

The fourth proportional to 8,549.53, 11,787.38 and 7,010.78 is: 9,665.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,549.53 : 11,787.38 = 7,010.78 : x
  2. Step 2: Convert to fraction form
    8,549.53/11,787.38 = 7,010.78/x
  3. Step 3: Cross multiply
    8,549.53x = 11,787.38 × 7,010.78
  4. Step 4: Simplify right side
    8,549.53x = 82,638,727.96
  5. Step 5: Solve for x
    x = 82,638,727.96/8,549.53
  6. Step 6: Final answer
    x = 9,665.88

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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.