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Finding the Fourth Proportional to 10,512.92, 15,769.03 and 4,271.08

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Solution

The fourth proportional to 10,512.92, 15,769.03 and 4,271.08 is: 6,406.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,512.92 : 15,769.03 = 4,271.08 : x
  2. Step 2: Convert to fraction form
    10,512.92/15,769.03 = 4,271.08/x
  3. Step 3: Cross multiply
    10,512.92x = 15,769.03 × 4,271.08
  4. Step 4: Simplify right side
    10,512.92x = 67,350,788.65
  5. Step 5: Solve for x
    x = 67,350,788.65/10,512.92
  6. Step 6: Final answer
    x = 6,406.48

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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.