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Finding the Fourth Proportional to 1,988.78, 2,963.19 and 1,877

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Solution

The fourth proportional to 1,988.78, 2,963.19 and 1,877 is: 2,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.78 : 2,963.19 = 1,877 : x
  2. Step 2: Convert to fraction form
    1,988.78/2,963.19 = 1,877/x
  3. Step 3: Cross multiply
    1,988.78x = 2,963.19 × 1,877
  4. Step 4: Simplify right side
    1,988.78x = 5,561,898.25
  5. Step 5: Solve for x
    x = 5,561,898.25/1,988.78
  6. Step 6: Final answer
    x = 2,796.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.