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Finding the Fourth Proportional to 8,242.96, 12,335.28 and 7,834.72

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Solution

The fourth proportional to 8,242.96, 12,335.28 and 7,834.72 is: 11,724.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,242.96 : 12,335.28 = 7,834.72 : x
  2. Step 2: Convert to fraction form
    8,242.96/12,335.28 = 7,834.72/x
  3. Step 3: Cross multiply
    8,242.96x = 12,335.28 × 7,834.72
  4. Step 4: Simplify right side
    8,242.96x = 96,643,464.92
  5. Step 5: Solve for x
    x = 96,643,464.92/8,242.96
  6. Step 6: Final answer
    x = 11,724.36

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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.