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Finding the Fourth Proportional to 2,572.71, 3,549.87 and 1,734.77

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Solution

The fourth proportional to 2,572.71, 3,549.87 and 1,734.77 is: 2,393.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572.71 : 3,549.87 = 1,734.77 : x
  2. Step 2: Convert to fraction form
    2,572.71/3,549.87 = 1,734.77/x
  3. Step 3: Cross multiply
    2,572.71x = 3,549.87 × 1,734.77
  4. Step 4: Simplify right side
    2,572.71x = 6,158,190.23
  5. Step 5: Solve for x
    x = 6,158,190.23/2,572.71
  6. Step 6: Final answer
    x = 2,393.66

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1.5x scale

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.