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Finding the Fourth Proportional to 1,985.38, 2,977.98 and 945.88

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Solution

The fourth proportional to 1,985.38, 2,977.98 and 945.88 is: 1,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.38 : 2,977.98 = 945.88 : x
  2. Step 2: Convert to fraction form
    1,985.38/2,977.98 = 945.88/x
  3. Step 3: Cross multiply
    1,985.38x = 2,977.98 × 945.88
  4. Step 4: Simplify right side
    1,985.38x = 2,816,811.72
  5. Step 5: Solve for x
    x = 2,816,811.72/1,985.38
  6. Step 6: Final answer
    x = 1,418.78

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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.