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Finding the Fourth Proportional to 2,876.97, 4,315.29 and 1,415.64

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Solution

The fourth proportional to 2,876.97, 4,315.29 and 1,415.64 is: 2,123.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,876.97 : 4,315.29 = 1,415.64 : x
  2. Step 2: Convert to fraction form
    2,876.97/4,315.29 = 1,415.64/x
  3. Step 3: Cross multiply
    2,876.97x = 4,315.29 × 1,415.64
  4. Step 4: Simplify right side
    2,876.97x = 6,108,897.14
  5. Step 5: Solve for x
    x = 6,108,897.14/2,876.97
  6. Step 6: Final answer
    x = 2,123.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.