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Finding the Fourth Proportional to 8,315.28, 12,458.31 and 7,411.32

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Solution

The fourth proportional to 8,315.28, 12,458.31 and 7,411.32 is: 11,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.28 : 12,458.31 = 7,411.32 : x
  2. Step 2: Convert to fraction form
    8,315.28/12,458.31 = 7,411.32/x
  3. Step 3: Cross multiply
    8,315.28x = 12,458.31 × 7,411.32
  4. Step 4: Simplify right side
    8,315.28x = 92,332,522.07
  5. Step 5: Solve for x
    x = 92,332,522.07/8,315.28
  6. Step 6: Final answer
    x = 11,103.96

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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.