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Finding the Fourth Proportional to 6,411.12, 9,609.03 and 4,191.08

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Solution

The fourth proportional to 6,411.12, 9,609.03 and 4,191.08 is: 6,281.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.12 : 9,609.03 = 4,191.08 : x
  2. Step 2: Convert to fraction form
    6,411.12/9,609.03 = 4,191.08/x
  3. Step 3: Cross multiply
    6,411.12x = 9,609.03 × 4,191.08
  4. Step 4: Simplify right side
    6,411.12x = 40,272,165.41
  5. Step 5: Solve for x
    x = 40,272,165.41/6,411.12
  6. Step 6: Final answer
    x = 6,281.61

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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.