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Finding the Fourth Proportional to 10,576.32, 15,834.96 and 8,121.12

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Solution

The fourth proportional to 10,576.32, 15,834.96 and 8,121.12 is: 12,159.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.32 : 15,834.96 = 8,121.12 : x
  2. Step 2: Convert to fraction form
    10,576.32/15,834.96 = 8,121.12/x
  3. Step 3: Cross multiply
    10,576.32x = 15,834.96 × 8,121.12
  4. Step 4: Simplify right side
    10,576.32x = 128,597,610.36
  5. Step 5: Solve for x
    x = 128,597,610.36/10,576.32
  6. Step 6: Final answer
    x = 12,159.01

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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.