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Finding the Fourth Proportional to 2,897, 4,001.16 and 1,963.88

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Solution

The fourth proportional to 2,897, 4,001.16 and 1,963.88 is: 2,712.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,897 : 4,001.16 = 1,963.88 : x
  2. Step 2: Convert to fraction form
    2,897/4,001.16 = 1,963.88/x
  3. Step 3: Cross multiply
    2,897x = 4,001.16 × 1,963.88
  4. Step 4: Simplify right side
    2,897x = 7,857,798.10
  5. Step 5: Solve for x
    x = 7,857,798.10/2,897
  6. Step 6: Final answer
    x = 2,712.39

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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.