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Finding the Fourth Proportional to 2,569.49, 3,847.07 and 1,642.76

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Solution

The fourth proportional to 2,569.49, 3,847.07 and 1,642.76 is: 2,459.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,569.49 : 3,847.07 = 1,642.76 : x
  2. Step 2: Convert to fraction form
    2,569.49/3,847.07 = 1,642.76/x
  3. Step 3: Cross multiply
    2,569.49x = 3,847.07 × 1,642.76
  4. Step 4: Simplify right side
    2,569.49x = 6,319,785.26
  5. Step 5: Solve for x
    x = 6,319,785.26/2,569.49
  6. Step 6: Final answer
    x = 2,459.55

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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.