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Finding the Fourth Proportional to 28,491.12, 42,735.06 and 7,713

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Solution

The fourth proportional to 28,491.12, 42,735.06 and 7,713 is: 11,569.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,491.12 : 42,735.06 = 7,713 : x
  2. Step 2: Convert to fraction form
    28,491.12/42,735.06 = 7,713/x
  3. Step 3: Cross multiply
    28,491.12x = 42,735.06 × 7,713
  4. Step 4: Simplify right side
    28,491.12x = 329,615,517.78
  5. Step 5: Solve for x
    x = 329,615,517.78/28,491.12
  6. Step 6: Final answer
    x = 11,569.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.