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Finding the Fourth Proportional to 2,661.88, 3,671.45 and 1,717.20

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Solution

The fourth proportional to 2,661.88, 3,671.45 and 1,717.20 is: 2,368.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,661.88 : 3,671.45 = 1,717.20 : x
  2. Step 2: Convert to fraction form
    2,661.88/3,671.45 = 1,717.20/x
  3. Step 3: Cross multiply
    2,661.88x = 3,671.45 × 1,717.20
  4. Step 4: Simplify right side
    2,661.88x = 6,304,590.27
  5. Step 5: Solve for x
    x = 6,304,590.27/2,661.88
  6. Step 6: Final answer
    x = 2,368.47

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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.