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Finding the Fourth Proportional to 2,561.40, 3,838.74 and 2,497

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Solution

The fourth proportional to 2,561.40, 3,838.74 and 2,497 is: 3,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,561.40 : 3,838.74 = 2,497 : x
  2. Step 2: Convert to fraction form
    2,561.40/3,838.74 = 2,497/x
  3. Step 3: Cross multiply
    2,561.40x = 3,838.74 × 2,497
  4. Step 4: Simplify right side
    2,561.40x = 9,585,333.78
  5. Step 5: Solve for x
    x = 9,585,333.78/2,561.40
  6. Step 6: Final answer
    x = 3,742.22

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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.