Home / 2,987.78-4,123.11-1,661.48

Finding the Fourth Proportional to 2,987.78, 4,123.11 and 1,661.48

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Solution

The fourth proportional to 2,987.78, 4,123.11 and 1,661.48 is: 2,292.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.78 : 4,123.11 = 1,661.48 : x
  2. Step 2: Convert to fraction form
    2,987.78/4,123.11 = 1,661.48/x
  3. Step 3: Cross multiply
    2,987.78x = 4,123.11 × 1,661.48
  4. Step 4: Simplify right side
    2,987.78x = 6,850,444.19
  5. Step 5: Solve for x
    x = 6,850,444.19/2,987.78
  6. Step 6: Final answer
    x = 2,292.82

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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.