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Finding the Fourth Proportional to 1,978.45, 2,727.11 and 1,558.13

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Solution

The fourth proportional to 1,978.45, 2,727.11 and 1,558.13 is: 2,147.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,978.45 : 2,727.11 = 1,558.13 : x
  2. Step 2: Convert to fraction form
    1,978.45/2,727.11 = 1,558.13/x
  3. Step 3: Cross multiply
    1,978.45x = 2,727.11 × 1,558.13
  4. Step 4: Simplify right side
    1,978.45x = 4,249,191.90
  5. Step 5: Solve for x
    x = 4,249,191.90/1,978.45
  6. Step 6: Final answer
    x = 2,147.74

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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.