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Finding the Fourth Proportional to 2,523.52, 3,479.43 and 1,639

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Solution

The fourth proportional to 2,523.52, 3,479.43 and 1,639 is: 2,259.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,523.52 : 3,479.43 = 1,639 : x
  2. Step 2: Convert to fraction form
    2,523.52/3,479.43 = 1,639/x
  3. Step 3: Cross multiply
    2,523.52x = 3,479.43 × 1,639
  4. Step 4: Simplify right side
    2,523.52x = 5,702,785.77
  5. Step 5: Solve for x
    x = 5,702,785.77/2,523.52
  6. Step 6: Final answer
    x = 2,259.85

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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.