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Finding the Fourth Proportional to 1,751.34, 2,639.01 and 1,449.95

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Solution

The fourth proportional to 1,751.34, 2,639.01 and 1,449.95 is: 2,184.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,751.34 : 2,639.01 = 1,449.95 : x
  2. Step 2: Convert to fraction form
    1,751.34/2,639.01 = 1,449.95/x
  3. Step 3: Cross multiply
    1,751.34x = 2,639.01 × 1,449.95
  4. Step 4: Simplify right side
    1,751.34x = 3,826,419.35
  5. Step 5: Solve for x
    x = 3,826,419.35/1,751.34
  6. Step 6: Final answer
    x = 2,184.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.