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Finding the Fourth Proportional to 10,347.64, 15,529.28 and 7,581.48

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Solution

The fourth proportional to 10,347.64, 15,529.28 and 7,581.48 is: 11,377.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,347.64 : 15,529.28 = 7,581.48 : x
  2. Step 2: Convert to fraction form
    10,347.64/15,529.28 = 7,581.48/x
  3. Step 3: Cross multiply
    10,347.64x = 15,529.28 × 7,581.48
  4. Step 4: Simplify right side
    10,347.64x = 117,734,925.73
  5. Step 5: Solve for x
    x = 117,734,925.73/10,347.64
  6. Step 6: Final answer
    x = 11,377.95

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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.