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Finding the Fourth Proportional to 2,600.16, 3,900.61 and 751.29

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Solution

The fourth proportional to 2,600.16, 3,900.61 and 751.29 is: 1,127.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.16 : 3,900.61 = 751.29 : x
  2. Step 2: Convert to fraction form
    2,600.16/3,900.61 = 751.29/x
  3. Step 3: Cross multiply
    2,600.16x = 3,900.61 × 751.29
  4. Step 4: Simplify right side
    2,600.16x = 2,930,475.60
  5. Step 5: Solve for x
    x = 2,930,475.60/2,600.16
  6. Step 6: Final answer
    x = 1,127.04

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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.