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Finding the Fourth Proportional to 2,663, 3,673.68 and 1,877.48

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Solution

The fourth proportional to 2,663, 3,673.68 and 1,877.48 is: 2,590.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663 : 3,673.68 = 1,877.48 : x
  2. Step 2: Convert to fraction form
    2,663/3,673.68 = 1,877.48/x
  3. Step 3: Cross multiply
    2,663x = 3,673.68 × 1,877.48
  4. Step 4: Simplify right side
    2,663x = 6,897,260.73
  5. Step 5: Solve for x
    x = 6,897,260.73/2,663
  6. Step 6: Final answer
    x = 2,590.03

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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.