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Finding the Fourth Proportional to 3,139.88, 4,333.23 and 1,742.63

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Solution

The fourth proportional to 3,139.88, 4,333.23 and 1,742.63 is: 2,404.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,139.88 : 4,333.23 = 1,742.63 : x
  2. Step 2: Convert to fraction form
    3,139.88/4,333.23 = 1,742.63/x
  3. Step 3: Cross multiply
    3,139.88x = 4,333.23 × 1,742.63
  4. Step 4: Simplify right side
    3,139.88x = 7,551,194.93
  5. Step 5: Solve for x
    x = 7,551,194.93/3,139.88
  6. Step 6: Final answer
    x = 2,404.93

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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.