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Finding the Fourth Proportional to 8,431.80, 12,635.28 and 7,509.12

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Solution

The fourth proportional to 8,431.80, 12,635.28 and 7,509.12 is: 11,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.80 : 12,635.28 = 7,509.12 : x
  2. Step 2: Convert to fraction form
    8,431.80/12,635.28 = 7,509.12/x
  3. Step 3: Cross multiply
    8,431.80x = 12,635.28 × 7,509.12
  4. Step 4: Simplify right side
    8,431.80x = 94,879,833.75
  5. Step 5: Solve for x
    x = 94,879,833.75/8,431.80
  6. Step 6: Final answer
    x = 11,252.62

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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.