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Finding the Fourth Proportional to 3,139.76, 4,332.94 and 1,742.60

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Solution

The fourth proportional to 3,139.76, 4,332.94 and 1,742.60 is: 2,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.76 : 4,332.94 = 1,742.60 : x
  2. Step 2: Convert to fraction form
    3,139.76/4,332.94 = 1,742.60/x
  3. Step 3: Cross multiply
    3,139.76x = 4,332.94 × 1,742.60
  4. Step 4: Simplify right side
    3,139.76x = 7,550,581.24
  5. Step 5: Solve for x
    x = 7,550,581.24/3,139.76
  6. Step 6: Final answer
    x = 2,404.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.