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Finding the Fourth Proportional to 3,909.17, 5,863.77 and 947.61

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Solution

The fourth proportional to 3,909.17, 5,863.77 and 947.61 is: 1,421.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.17 : 5,863.77 = 947.61 : x
  2. Step 2: Convert to fraction form
    3,909.17/5,863.77 = 947.61/x
  3. Step 3: Cross multiply
    3,909.17x = 5,863.77 × 947.61
  4. Step 4: Simplify right side
    3,909.17x = 5,556,543.65
  5. Step 5: Solve for x
    x = 5,556,543.65/3,909.17
  6. Step 6: Final answer
    x = 1,421.41

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Double scale
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Similar ratio
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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.