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Finding the Fourth Proportional to 2,160.11, 2,978.07 and 1,412.78

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Solution

The fourth proportional to 2,160.11, 2,978.07 and 1,412.78 is: 1,947.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.11 : 2,978.07 = 1,412.78 : x
  2. Step 2: Convert to fraction form
    2,160.11/2,978.07 = 1,412.78/x
  3. Step 3: Cross multiply
    2,160.11x = 2,978.07 × 1,412.78
  4. Step 4: Simplify right side
    2,160.11x = 4,207,342.84
  5. Step 5: Solve for x
    x = 4,207,342.84/2,160.11
  6. Step 6: Final answer
    x = 1,947.75

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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.