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Finding the Fourth Proportional to 2,287.08, 3,430.62 and 987.84

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Solution

The fourth proportional to 2,287.08, 3,430.62 and 987.84 is: 1,481.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,287.08 : 3,430.62 = 987.84 : x
  2. Step 2: Convert to fraction form
    2,287.08/3,430.62 = 987.84/x
  3. Step 3: Cross multiply
    2,287.08x = 3,430.62 × 987.84
  4. Step 4: Simplify right side
    2,287.08x = 3,388,903.66
  5. Step 5: Solve for x
    x = 3,388,903.66/2,287.08
  6. Step 6: Final answer
    x = 1,481.76

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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.