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Finding the Fourth Proportional to 5,646.39, 8,447.71 and 3,788.66

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Solution

The fourth proportional to 5,646.39, 8,447.71 and 3,788.66 is: 5,668.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.39 : 8,447.71 = 3,788.66 : x
  2. Step 2: Convert to fraction form
    5,646.39/8,447.71 = 3,788.66/x
  3. Step 3: Cross multiply
    5,646.39x = 8,447.71 × 3,788.66
  4. Step 4: Simplify right side
    5,646.39x = 32,005,500.97
  5. Step 5: Solve for x
    x = 32,005,500.97/5,646.39
  6. Step 6: Final answer
    x = 5,668.31

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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.