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Finding the Fourth Proportional to 15,534, 21,437.04 and 9,246

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Solution

The fourth proportional to 15,534, 21,437.04 and 9,246 is: 12,759.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,534 : 21,437.04 = 9,246 : x
  2. Step 2: Convert to fraction form
    15,534/21,437.04 = 9,246/x
  3. Step 3: Cross multiply
    15,534x = 21,437.04 × 9,246
  4. Step 4: Simplify right side
    15,534x = 198,206,871.84
  5. Step 5: Solve for x
    x = 198,206,871.84/15,534
  6. Step 6: Final answer
    x = 12,759.55

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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.