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Finding the Fourth Proportional to 2,149.48, 2,966.82 and 1,321

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Solution

The fourth proportional to 2,149.48, 2,966.82 and 1,321 is: 1,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.48 : 2,966.82 = 1,321 : x
  2. Step 2: Convert to fraction form
    2,149.48/2,966.82 = 1,321/x
  3. Step 3: Cross multiply
    2,149.48x = 2,966.82 × 1,321
  4. Step 4: Simplify right side
    2,149.48x = 3,919,169.22
  5. Step 5: Solve for x
    x = 3,919,169.22/2,149.48
  6. Step 6: Final answer
    x = 1,823.31

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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.