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Finding the Fourth Proportional to 2,600.02, 3,900.06 and 868.60

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Solution

The fourth proportional to 2,600.02, 3,900.06 and 868.60 is: 1,302.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,600.02 : 3,900.06 = 868.60 : x
  2. Step 2: Convert to fraction form
    2,600.02/3,900.06 = 868.60/x
  3. Step 3: Cross multiply
    2,600.02x = 3,900.06 × 868.60
  4. Step 4: Simplify right side
    2,600.02x = 3,387,592.12
  5. Step 5: Solve for x
    x = 3,387,592.12/2,600.02
  6. Step 6: Final answer
    x = 1,302.91

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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.