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Finding the Fourth Proportional to 19,343.92, 28,978.51 and 14,269.16

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Solution

The fourth proportional to 19,343.92, 28,978.51 and 14,269.16 is: 21,376.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,343.92 : 28,978.51 = 14,269.16 : x
  2. Step 2: Convert to fraction form
    19,343.92/28,978.51 = 14,269.16/x
  3. Step 3: Cross multiply
    19,343.92x = 28,978.51 × 14,269.16
  4. Step 4: Simplify right side
    19,343.92x = 413,499,120.10
  5. Step 5: Solve for x
    x = 413,499,120.10/19,343.92
  6. Step 6: Final answer
    x = 21,376.19

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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.