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Finding the Fourth Proportional to 3,000.72, 4,139.46 and 1,758

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Solution

The fourth proportional to 3,000.72, 4,139.46 and 1,758 is: 2,425.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000.72 : 4,139.46 = 1,758 : x
  2. Step 2: Convert to fraction form
    3,000.72/4,139.46 = 1,758/x
  3. Step 3: Cross multiply
    3,000.72x = 4,139.46 × 1,758
  4. Step 4: Simplify right side
    3,000.72x = 7,277,170.68
  5. Step 5: Solve for x
    x = 7,277,170.68/3,000.72
  6. Step 6: Final answer
    x = 2,425.14

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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.