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Finding the Fourth Proportional to 14,490.32, 21,719.80 and 7,099.76

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Solution

The fourth proportional to 14,490.32, 21,719.80 and 7,099.76 is: 10,641.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,490.32 : 21,719.80 = 7,099.76 : x
  2. Step 2: Convert to fraction form
    14,490.32/21,719.80 = 7,099.76/x
  3. Step 3: Cross multiply
    14,490.32x = 21,719.80 × 7,099.76
  4. Step 4: Simplify right side
    14,490.32x = 154,205,367.25
  5. Step 5: Solve for x
    x = 154,205,367.25/14,490.32
  6. Step 6: Final answer
    x = 10,641.96

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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.