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Finding the Fourth Proportional to 1,978.76, 2,731.11 and 1,646.86

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Solution

The fourth proportional to 1,978.76, 2,731.11 and 1,646.86 is: 2,273.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.76 : 2,731.11 = 1,646.86 : x
  2. Step 2: Convert to fraction form
    1,978.76/2,731.11 = 1,646.86/x
  3. Step 3: Cross multiply
    1,978.76x = 2,731.11 × 1,646.86
  4. Step 4: Simplify right side
    1,978.76x = 4,497,755.81
  5. Step 5: Solve for x
    x = 4,497,755.81/1,978.76
  6. Step 6: Final answer
    x = 2,273.02

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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.