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Finding the Fourth Proportional to 3,771.76, 5,656.73 and 1,582.13

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Solution

The fourth proportional to 3,771.76, 5,656.73 and 1,582.13 is: 2,372.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.76 : 5,656.73 = 1,582.13 : x
  2. Step 2: Convert to fraction form
    3,771.76/5,656.73 = 1,582.13/x
  3. Step 3: Cross multiply
    3,771.76x = 5,656.73 × 1,582.13
  4. Step 4: Simplify right side
    3,771.76x = 8,949,646.04
  5. Step 5: Solve for x
    x = 8,949,646.04/3,771.76
  6. Step 6: Final answer
    x = 2,372.80

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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.