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Finding the Fourth Proportional to 8,287.62, 12,419.78 and 7,050.14

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Solution

The fourth proportional to 8,287.62, 12,419.78 and 7,050.14 is: 10,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.62 : 12,419.78 = 7,050.14 : x
  2. Step 2: Convert to fraction form
    8,287.62/12,419.78 = 7,050.14/x
  3. Step 3: Cross multiply
    8,287.62x = 12,419.78 × 7,050.14
  4. Step 4: Simplify right side
    8,287.62x = 87,561,187.77
  5. Step 5: Solve for x
    x = 87,561,187.77/8,287.62
  6. Step 6: Final answer
    x = 10,565.30

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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.