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Finding the Fourth Proportional to 6,448.57, 9,672.85 and 5,158.24

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Solution

The fourth proportional to 6,448.57, 9,672.85 and 5,158.24 is: 7,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.57 : 9,672.85 = 5,158.24 : x
  2. Step 2: Convert to fraction form
    6,448.57/9,672.85 = 5,158.24/x
  3. Step 3: Cross multiply
    6,448.57x = 9,672.85 × 5,158.24
  4. Step 4: Simplify right side
    6,448.57x = 49,894,864.05
  5. Step 5: Solve for x
    x = 49,894,864.05/6,448.57
  6. Step 6: Final answer
    x = 7,737.36

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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.