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Finding the Fourth Proportional to 10,781.68, 14,877.12 and 6,065.68

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Solution

The fourth proportional to 10,781.68, 14,877.12 and 6,065.68 is: 8,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,781.68 : 14,877.12 = 6,065.68 : x
  2. Step 2: Convert to fraction form
    10,781.68/14,877.12 = 6,065.68/x
  3. Step 3: Cross multiply
    10,781.68x = 14,877.12 × 6,065.68
  4. Step 4: Simplify right side
    10,781.68x = 90,239,849.24
  5. Step 5: Solve for x
    x = 90,239,849.24/10,781.68
  6. Step 6: Final answer
    x = 8,369.74

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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.