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Finding the Fourth Proportional to 2,407, 3,322.17 and 1,651.81

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Solution

The fourth proportional to 2,407, 3,322.17 and 1,651.81 is: 2,279.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407 : 3,322.17 = 1,651.81 : x
  2. Step 2: Convert to fraction form
    2,407/3,322.17 = 1,651.81/x
  3. Step 3: Cross multiply
    2,407x = 3,322.17 × 1,651.81
  4. Step 4: Simplify right side
    2,407x = 5,487,593.63
  5. Step 5: Solve for x
    x = 5,487,593.63/2,407
  6. Step 6: Final answer
    x = 2,279.85

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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.