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Finding the Fourth Proportional to 28,865, 39,833.70 and 15,617

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Solution

The fourth proportional to 28,865, 39,833.70 and 15,617 is: 21,551.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,865 : 39,833.70 = 15,617 : x
  2. Step 2: Convert to fraction form
    28,865/39,833.70 = 15,617/x
  3. Step 3: Cross multiply
    28,865x = 39,833.70 × 15,617
  4. Step 4: Simplify right side
    28,865x = 622,082,892.90
  5. Step 5: Solve for x
    x = 622,082,892.90/28,865
  6. Step 6: Final answer
    x = 21,551.46

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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.