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Finding the Fourth Proportional to 8,287.85, 12,421.89 and 5,775.43

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Solution

The fourth proportional to 8,287.85, 12,421.89 and 5,775.43 is: 8,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.85 : 12,421.89 = 5,775.43 : x
  2. Step 2: Convert to fraction form
    8,287.85/12,421.89 = 5,775.43/x
  3. Step 3: Cross multiply
    8,287.85x = 12,421.89 × 5,775.43
  4. Step 4: Simplify right side
    8,287.85x = 71,741,807.70
  5. Step 5: Solve for x
    x = 71,741,807.70/8,287.85
  6. Step 6: Final answer
    x = 8,656.26

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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.