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Finding the Fourth Proportional to 8,395.67, 12,577.08 and 6,438.31

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Solution

The fourth proportional to 8,395.67, 12,577.08 and 6,438.31 is: 9,644.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.67 : 12,577.08 = 6,438.31 : x
  2. Step 2: Convert to fraction form
    8,395.67/12,577.08 = 6,438.31/x
  3. Step 3: Cross multiply
    8,395.67x = 12,577.08 × 6,438.31
  4. Step 4: Simplify right side
    8,395.67x = 80,975,139.93
  5. Step 5: Solve for x
    x = 80,975,139.93/8,395.67
  6. Step 6: Final answer
    x = 9,644.87

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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.