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Finding the Fourth Proportional to 1,752.61, 2,418.60 and 966.71

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Solution

The fourth proportional to 1,752.61, 2,418.60 and 966.71 is: 1,334.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.61 : 2,418.60 = 966.71 : x
  2. Step 2: Convert to fraction form
    1,752.61/2,418.60 = 966.71/x
  3. Step 3: Cross multiply
    1,752.61x = 2,418.60 × 966.71
  4. Step 4: Simplify right side
    1,752.61x = 2,338,081.18
  5. Step 5: Solve for x
    x = 2,338,081.18/1,752.61
  6. Step 6: Final answer
    x = 1,334.06

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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.