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Finding the Fourth Proportional to 5,781.47, 8,671.86 and 1,564.65

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Solution

The fourth proportional to 5,781.47, 8,671.86 and 1,564.65 is: 2,346.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.47 : 8,671.86 = 1,564.65 : x
  2. Step 2: Convert to fraction form
    5,781.47/8,671.86 = 1,564.65/x
  3. Step 3: Cross multiply
    5,781.47x = 8,671.86 × 1,564.65
  4. Step 4: Simplify right side
    5,781.47x = 13,568,425.75
  5. Step 5: Solve for x
    x = 13,568,425.75/5,781.47
  6. Step 6: Final answer
    x = 2,346.88

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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.