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Finding the Fourth Proportional to 2,987.80, 4,481.70 and 2,064.40

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Solution

The fourth proportional to 2,987.80, 4,481.70 and 2,064.40 is: 3,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,987.80 : 4,481.70 = 2,064.40 : x
  2. Step 2: Convert to fraction form
    2,987.80/4,481.70 = 2,064.40/x
  3. Step 3: Cross multiply
    2,987.80x = 4,481.70 × 2,064.40
  4. Step 4: Simplify right side
    2,987.80x = 9,252,021.48
  5. Step 5: Solve for x
    x = 9,252,021.48/2,987.80
  6. Step 6: Final answer
    x = 3,096.60

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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.