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Finding the Fourth Proportional to 10,496.57, 15,696.23 and 8,129.75

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Solution

The fourth proportional to 10,496.57, 15,696.23 and 8,129.75 is: 12,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,496.57 : 15,696.23 = 8,129.75 : x
  2. Step 2: Convert to fraction form
    10,496.57/15,696.23 = 8,129.75/x
  3. Step 3: Cross multiply
    10,496.57x = 15,696.23 × 8,129.75
  4. Step 4: Simplify right side
    10,496.57x = 127,606,306.71
  5. Step 5: Solve for x
    x = 127,606,306.71/10,496.57
  6. Step 6: Final answer
    x = 12,156.96

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1.5x scale

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.