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Finding the Fourth Proportional to 2,661.43, 3,671.68 and 1,717.02

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Solution

The fourth proportional to 2,661.43, 3,671.68 and 1,717.02 is: 2,368.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.43 : 3,671.68 = 1,717.02 : x
  2. Step 2: Convert to fraction form
    2,661.43/3,671.68 = 1,717.02/x
  3. Step 3: Cross multiply
    2,661.43x = 3,671.68 × 1,717.02
  4. Step 4: Simplify right side
    2,661.43x = 6,304,347.99
  5. Step 5: Solve for x
    x = 6,304,347.99/2,661.43
  6. Step 6: Final answer
    x = 2,368.78

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1.5x scale

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.