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Finding the Fourth Proportional to 1,651.47, 2,278.97 and 987.98

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Solution

The fourth proportional to 1,651.47, 2,278.97 and 987.98 is: 1,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,651.47 : 2,278.97 = 987.98 : x
  2. Step 2: Convert to fraction form
    1,651.47/2,278.97 = 987.98/x
  3. Step 3: Cross multiply
    1,651.47x = 2,278.97 × 987.98
  4. Step 4: Simplify right side
    1,651.47x = 2,251,560.45
  5. Step 5: Solve for x
    x = 2,251,560.45/1,651.47
  6. Step 6: Final answer
    x = 1,363.37

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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.