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Finding the Fourth Proportional to 19,937.28, 29,907.20 and 11,712

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Solution

The fourth proportional to 19,937.28, 29,907.20 and 11,712 is: 17,568.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,937.28 : 29,907.20 = 11,712 : x
  2. Step 2: Convert to fraction form
    19,937.28/29,907.20 = 11,712/x
  3. Step 3: Cross multiply
    19,937.28x = 29,907.20 × 11,712
  4. Step 4: Simplify right side
    19,937.28x = 350,273,126.40
  5. Step 5: Solve for x
    x = 350,273,126.40/19,937.28
  6. Step 6: Final answer
    x = 17,568.75

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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.