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Finding the Fourth Proportional to 7,916.32, 11,870.52 and 2,649.52

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Solution

The fourth proportional to 7,916.32, 11,870.52 and 2,649.52 is: 3,972.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,916.32 : 11,870.52 = 2,649.52 : x
  2. Step 2: Convert to fraction form
    7,916.32/11,870.52 = 2,649.52/x
  3. Step 3: Cross multiply
    7,916.32x = 11,870.52 × 2,649.52
  4. Step 4: Simplify right side
    7,916.32x = 31,451,180.15
  5. Step 5: Solve for x
    x = 31,451,180.15/7,916.32
  6. Step 6: Final answer
    x = 3,972.95

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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.