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Finding the Fourth Proportional to 10,513, 15,769.50 and 4,276.41

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Solution

The fourth proportional to 10,513, 15,769.50 and 4,276.41 is: 6,414.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513 : 15,769.50 = 4,276.41 : x
  2. Step 2: Convert to fraction form
    10,513/15,769.50 = 4,276.41/x
  3. Step 3: Cross multiply
    10,513x = 15,769.50 × 4,276.41
  4. Step 4: Simplify right side
    10,513x = 67,436,847.50
  5. Step 5: Solve for x
    x = 67,436,847.50/10,513
  6. Step 6: Final answer
    x = 6,414.62

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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.