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Finding the Fourth Proportional to 17,099.50, 25,646.67 and 5,411.20

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Solution

The fourth proportional to 17,099.50, 25,646.67 and 5,411.20 is: 8,115.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.50 : 25,646.67 = 5,411.20 : x
  2. Step 2: Convert to fraction form
    17,099.50/25,646.67 = 5,411.20/x
  3. Step 3: Cross multiply
    17,099.50x = 25,646.67 × 5,411.20
  4. Step 4: Simplify right side
    17,099.50x = 138,779,260.70
  5. Step 5: Solve for x
    x = 138,779,260.70/17,099.50
  6. Step 6: Final answer
    x = 8,115.98

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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.