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Finding the Fourth Proportional to 10,109.92, 15,158 and 3,532.50

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Solution

The fourth proportional to 10,109.92, 15,158 and 3,532.50 is: 5,296.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,109.92 : 15,158 = 3,532.50 : x
  2. Step 2: Convert to fraction form
    10,109.92/15,158 = 3,532.50/x
  3. Step 3: Cross multiply
    10,109.92x = 15,158 × 3,532.50
  4. Step 4: Simplify right side
    10,109.92x = 53,545,635
  5. Step 5: Solve for x
    x = 53,545,635/10,109.92
  6. Step 6: Final answer
    x = 5,296.35

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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.