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Finding the Fourth Proportional to 10,611.81, 15,920.26 and 7,497.90

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Solution

The fourth proportional to 10,611.81, 15,920.26 and 7,497.90 is: 11,248.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.81 : 15,920.26 = 7,497.90 : x
  2. Step 2: Convert to fraction form
    10,611.81/15,920.26 = 7,497.90/x
  3. Step 3: Cross multiply
    10,611.81x = 15,920.26 × 7,497.90
  4. Step 4: Simplify right side
    10,611.81x = 119,368,498.71
  5. Step 5: Solve for x
    x = 119,368,498.71/10,611.81
  6. Step 6: Final answer
    x = 11,248.65

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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.