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Finding the Fourth Proportional to 2,561.52, 3,534.88 and 1,630

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Solution

The fourth proportional to 2,561.52, 3,534.88 and 1,630 is: 2,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.52 : 3,534.88 = 1,630 : x
  2. Step 2: Convert to fraction form
    2,561.52/3,534.88 = 1,630/x
  3. Step 3: Cross multiply
    2,561.52x = 3,534.88 × 1,630
  4. Step 4: Simplify right side
    2,561.52x = 5,761,854.40
  5. Step 5: Solve for x
    x = 5,761,854.40/2,561.52
  6. Step 6: Final answer
    x = 2,249.39

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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.