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Finding the Fourth Proportional to 2,249, 3,375.24 and 1,560.50

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Solution

The fourth proportional to 2,249, 3,375.24 and 1,560.50 is: 2,341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249 : 3,375.24 = 1,560.50 : x
  2. Step 2: Convert to fraction form
    2,249/3,375.24 = 1,560.50/x
  3. Step 3: Cross multiply
    2,249x = 3,375.24 × 1,560.50
  4. Step 4: Simplify right side
    2,249x = 5,267,062.02
  5. Step 5: Solve for x
    x = 5,267,062.02/2,249
  6. Step 6: Final answer
    x = 2,341.96

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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.