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Finding the Fourth Proportional to 8,953.76, 13,407.80 and 7,489.28

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Solution

The fourth proportional to 8,953.76, 13,407.80 and 7,489.28 is: 11,214.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.76 : 13,407.80 = 7,489.28 : x
  2. Step 2: Convert to fraction form
    8,953.76/13,407.80 = 7,489.28/x
  3. Step 3: Cross multiply
    8,953.76x = 13,407.80 × 7,489.28
  4. Step 4: Simplify right side
    8,953.76x = 100,414,768.38
  5. Step 5: Solve for x
    x = 100,414,768.38/8,953.76
  6. Step 6: Final answer
    x = 11,214.82

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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.