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Finding the Fourth Proportional to 15,508, 21,391.92 and 9,220

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Solution

The fourth proportional to 15,508, 21,391.92 and 9,220 is: 12,718.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,508 : 21,391.92 = 9,220 : x
  2. Step 2: Convert to fraction form
    15,508/21,391.92 = 9,220/x
  3. Step 3: Cross multiply
    15,508x = 21,391.92 × 9,220
  4. Step 4: Simplify right side
    15,508x = 197,233,502.40
  5. Step 5: Solve for x
    x = 197,233,502.40/15,508
  6. Step 6: Final answer
    x = 12,718.18

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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.