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Finding the Fourth Proportional to 6,378.57, 9,567.18 and 3,909.08

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Solution

The fourth proportional to 6,378.57, 9,567.18 and 3,909.08 is: 5,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.57 : 9,567.18 = 3,909.08 : x
  2. Step 2: Convert to fraction form
    6,378.57/9,567.18 = 3,909.08/x
  3. Step 3: Cross multiply
    6,378.57x = 9,567.18 × 3,909.08
  4. Step 4: Simplify right side
    6,378.57x = 37,398,895.91
  5. Step 5: Solve for x
    x = 37,398,895.91/6,378.57
  6. Step 6: Final answer
    x = 5,863.21

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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.