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Finding the Fourth Proportional to 15,142.96, 22,659.08 and 8,905.91

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Solution

The fourth proportional to 15,142.96, 22,659.08 and 8,905.91 is: 13,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,142.96 : 22,659.08 = 8,905.91 : x
  2. Step 2: Convert to fraction form
    15,142.96/22,659.08 = 8,905.91/x
  3. Step 3: Cross multiply
    15,142.96x = 22,659.08 × 8,905.91
  4. Step 4: Simplify right side
    15,142.96x = 201,799,569.34
  5. Step 5: Solve for x
    x = 201,799,569.34/15,142.96
  6. Step 6: Final answer
    x = 13,326.30

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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.