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Finding the Fourth Proportional to 2,987.81, 4,478.49 and 1,892.48

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Solution

The fourth proportional to 2,987.81, 4,478.49 and 1,892.48 is: 2,836.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.81 : 4,478.49 = 1,892.48 : x
  2. Step 2: Convert to fraction form
    2,987.81/4,478.49 = 1,892.48/x
  3. Step 3: Cross multiply
    2,987.81x = 4,478.49 × 1,892.48
  4. Step 4: Simplify right side
    2,987.81x = 8,475,452.76
  5. Step 5: Solve for x
    x = 8,475,452.76/2,987.81
  6. Step 6: Final answer
    x = 2,836.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.