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Finding the Fourth Proportional to 8,874.18, 13,287.58 and 7,823.21

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Solution

The fourth proportional to 8,874.18, 13,287.58 and 7,823.21 is: 11,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,874.18 : 13,287.58 = 7,823.21 : x
  2. Step 2: Convert to fraction form
    8,874.18/13,287.58 = 7,823.21/x
  3. Step 3: Cross multiply
    8,874.18x = 13,287.58 × 7,823.21
  4. Step 4: Simplify right side
    8,874.18x = 103,951,442.74
  5. Step 5: Solve for x
    x = 103,951,442.74/8,874.18
  6. Step 6: Final answer
    x = 11,713.92

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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.