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Finding the Fourth Proportional to 1,737.97, 2,605.13 and 1,275.05

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Solution

The fourth proportional to 1,737.97, 2,605.13 and 1,275.05 is: 1,911.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.97 : 2,605.13 = 1,275.05 : x
  2. Step 2: Convert to fraction form
    1,737.97/2,605.13 = 1,275.05/x
  3. Step 3: Cross multiply
    1,737.97x = 2,605.13 × 1,275.05
  4. Step 4: Simplify right side
    1,737.97x = 3,321,664.63
  5. Step 5: Solve for x
    x = 3,321,664.63/1,737.97
  6. Step 6: Final answer
    x = 1,911.24

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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.