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Finding the Fourth Proportional to 3,781.58, 5,672.96 and 1,590.93

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Solution

The fourth proportional to 3,781.58, 5,672.96 and 1,590.93 is: 2,386.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.58 : 5,672.96 = 1,590.93 : x
  2. Step 2: Convert to fraction form
    3,781.58/5,672.96 = 1,590.93/x
  3. Step 3: Cross multiply
    3,781.58x = 5,672.96 × 1,590.93
  4. Step 4: Simplify right side
    3,781.58x = 9,025,274.30
  5. Step 5: Solve for x
    x = 9,025,274.30/3,781.58
  6. Step 6: Final answer
    x = 2,386.64

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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.