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Finding the Fourth Proportional to 2,502.25, 3,753.19 and 1,041.01

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Solution

The fourth proportional to 2,502.25, 3,753.19 and 1,041.01 is: 1,561.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.25 : 3,753.19 = 1,041.01 : x
  2. Step 2: Convert to fraction form
    2,502.25/3,753.19 = 1,041.01/x
  3. Step 3: Cross multiply
    2,502.25x = 3,753.19 × 1,041.01
  4. Step 4: Simplify right side
    2,502.25x = 3,907,108.32
  5. Step 5: Solve for x
    x = 3,907,108.32/2,502.25
  6. Step 6: Final answer
    x = 1,561.44

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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.