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Finding the Fourth Proportional to 2,154.07, 2,975.55 and 1,687.87

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Solution

The fourth proportional to 2,154.07, 2,975.55 and 1,687.87 is: 2,331.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.07 : 2,975.55 = 1,687.87 : x
  2. Step 2: Convert to fraction form
    2,154.07/2,975.55 = 1,687.87/x
  3. Step 3: Cross multiply
    2,154.07x = 2,975.55 × 1,687.87
  4. Step 4: Simplify right side
    2,154.07x = 5,022,331.73
  5. Step 5: Solve for x
    x = 5,022,331.73/2,154.07
  6. Step 6: Final answer
    x = 2,331.55

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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.