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Finding the Fourth Proportional to 10,777.31, 14,872.70 and 6,061.70

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Solution

The fourth proportional to 10,777.31, 14,872.70 and 6,061.70 is: 8,365.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,777.31 : 14,872.70 = 6,061.70 : x
  2. Step 2: Convert to fraction form
    10,777.31/14,872.70 = 6,061.70/x
  3. Step 3: Cross multiply
    10,777.31x = 14,872.70 × 6,061.70
  4. Step 4: Simplify right side
    10,777.31x = 90,153,740.92
  5. Step 5: Solve for x
    x = 90,153,740.92/10,777.31
  6. Step 6: Final answer
    x = 8,365.14

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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.