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Finding the Fourth Proportional to 6,387.86, 9,567.20 and 3,785.33

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Solution

The fourth proportional to 6,387.86, 9,567.20 and 3,785.33 is: 5,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,387.86 : 9,567.20 = 3,785.33 : x
  2. Step 2: Convert to fraction form
    6,387.86/9,567.20 = 3,785.33/x
  3. Step 3: Cross multiply
    6,387.86x = 9,567.20 × 3,785.33
  4. Step 4: Simplify right side
    6,387.86x = 36,215,042.56
  5. Step 5: Solve for x
    x = 36,215,042.56/6,387.86
  6. Step 6: Final answer
    x = 5,669.35

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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.