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Finding the Fourth Proportional to 15,438, 21,309.30 and 9,849

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Solution

The fourth proportional to 15,438, 21,309.30 and 9,849 is: 13,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,438 : 21,309.30 = 9,849 : x
  2. Step 2: Convert to fraction form
    15,438/21,309.30 = 9,849/x
  3. Step 3: Cross multiply
    15,438x = 21,309.30 × 9,849
  4. Step 4: Simplify right side
    15,438x = 209,875,295.70
  5. Step 5: Solve for x
    x = 209,875,295.70/15,438
  6. Step 6: Final answer
    x = 13,594.72

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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.