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Finding the Fourth Proportional to 15,011.92, 20,715 and 8,296.46

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Solution

The fourth proportional to 15,011.92, 20,715 and 8,296.46 is: 11,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,011.92 : 20,715 = 8,296.46 : x
  2. Step 2: Convert to fraction form
    15,011.92/20,715 = 8,296.46/x
  3. Step 3: Cross multiply
    15,011.92x = 20,715 × 8,296.46
  4. Step 4: Simplify right side
    15,011.92x = 171,861,168.90
  5. Step 5: Solve for x
    x = 171,861,168.90/15,011.92
  6. Step 6: Final answer
    x = 11,448.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.