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Finding the Fourth Proportional to 15,890.74, 21,920.10 and 9,912.01

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Solution

The fourth proportional to 15,890.74, 21,920.10 and 9,912.01 is: 13,672.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.74 : 21,920.10 = 9,912.01 : x
  2. Step 2: Convert to fraction form
    15,890.74/21,920.10 = 9,912.01/x
  3. Step 3: Cross multiply
    15,890.74x = 21,920.10 × 9,912.01
  4. Step 4: Simplify right side
    15,890.74x = 217,272,250.40
  5. Step 5: Solve for x
    x = 217,272,250.40/15,890.74
  6. Step 6: Final answer
    x = 13,672.88

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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.