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Finding the Fourth Proportional to 1,978.55, 2,952.45 and 1,803.97

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Solution

The fourth proportional to 1,978.55, 2,952.45 and 1,803.97 is: 2,691.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.55 : 2,952.45 = 1,803.97 : x
  2. Step 2: Convert to fraction form
    1,978.55/2,952.45 = 1,803.97/x
  3. Step 3: Cross multiply
    1,978.55x = 2,952.45 × 1,803.97
  4. Step 4: Simplify right side
    1,978.55x = 5,326,134.92
  5. Step 5: Solve for x
    x = 5,326,134.92/1,978.55
  6. Step 6: Final answer
    x = 2,691.94

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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.