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Finding the Fourth Proportional to 2,593.50, 3,577.80 and 1,754.50

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Solution

The fourth proportional to 2,593.50, 3,577.80 and 1,754.50 is: 2,420.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593.50 : 3,577.80 = 1,754.50 : x
  2. Step 2: Convert to fraction form
    2,593.50/3,577.80 = 1,754.50/x
  3. Step 3: Cross multiply
    2,593.50x = 3,577.80 × 1,754.50
  4. Step 4: Simplify right side
    2,593.50x = 6,277,250.10
  5. Step 5: Solve for x
    x = 6,277,250.10/2,593.50
  6. Step 6: Final answer
    x = 2,420.38

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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.