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Finding the Fourth Proportional to 3,763.48, 5,642.48 and 1,572.83

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Solution

The fourth proportional to 3,763.48, 5,642.48 and 1,572.83 is: 2,358.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.48 : 5,642.48 = 1,572.83 : x
  2. Step 2: Convert to fraction form
    3,763.48/5,642.48 = 1,572.83/x
  3. Step 3: Cross multiply
    3,763.48x = 5,642.48 × 1,572.83
  4. Step 4: Simplify right side
    3,763.48x = 8,874,679.86
  5. Step 5: Solve for x
    x = 8,874,679.86/3,763.48
  6. Step 6: Final answer
    x = 2,358.11

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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.