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Finding the Fourth Proportional to 10,700.77, 14,767.17 and 5,920.47

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Solution

The fourth proportional to 10,700.77, 14,767.17 and 5,920.47 is: 8,170.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,700.77 : 14,767.17 = 5,920.47 : x
  2. Step 2: Convert to fraction form
    10,700.77/14,767.17 = 5,920.47/x
  3. Step 3: Cross multiply
    10,700.77x = 14,767.17 × 5,920.47
  4. Step 4: Simplify right side
    10,700.77x = 87,428,586.97
  5. Step 5: Solve for x
    x = 87,428,586.97/10,700.77
  6. Step 6: Final answer
    x = 8,170.31

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