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Finding the Fourth Proportional to 15,956, 22,011.72 and 11,242.88

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Solution

The fourth proportional to 15,956, 22,011.72 and 11,242.88 is: 15,509.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,956 : 22,011.72 = 11,242.88 : x
  2. Step 2: Convert to fraction form
    15,956/22,011.72 = 11,242.88/x
  3. Step 3: Cross multiply
    15,956x = 22,011.72 × 11,242.88
  4. Step 4: Simplify right side
    15,956x = 247,475,126.55
  5. Step 5: Solve for x
    x = 247,475,126.55/15,956
  6. Step 6: Final answer
    x = 15,509.85

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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.