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Finding the Fourth Proportional to 2,659.73, 3,989.87 and 1,017.65

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Solution

The fourth proportional to 2,659.73, 3,989.87 and 1,017.65 is: 1,526.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659.73 : 3,989.87 = 1,017.65 : x
  2. Step 2: Convert to fraction form
    2,659.73/3,989.87 = 1,017.65/x
  3. Step 3: Cross multiply
    2,659.73x = 3,989.87 × 1,017.65
  4. Step 4: Simplify right side
    2,659.73x = 4,060,266.17
  5. Step 5: Solve for x
    x = 4,060,266.17/2,659.73
  6. Step 6: Final answer
    x = 1,526.57

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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.