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Finding the Fourth Proportional to 1,761.52, 2,640.07 and 1,541.63

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Solution

The fourth proportional to 1,761.52, 2,640.07 and 1,541.63 is: 2,310.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.52 : 2,640.07 = 1,541.63 : x
  2. Step 2: Convert to fraction form
    1,761.52/2,640.07 = 1,541.63/x
  3. Step 3: Cross multiply
    1,761.52x = 2,640.07 × 1,541.63
  4. Step 4: Simplify right side
    1,761.52x = 4,070,011.11
  5. Step 5: Solve for x
    x = 4,070,011.11/1,761.52
  6. Step 6: Final answer
    x = 2,310.51

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1.5x scale

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.