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Finding the Fourth Proportional to 1,638.04, 2,453.28 and 987.34

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Solution

The fourth proportional to 1,638.04, 2,453.28 and 987.34 is: 1,478.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.04 : 2,453.28 = 987.34 : x
  2. Step 2: Convert to fraction form
    1,638.04/2,453.28 = 987.34/x
  3. Step 3: Cross multiply
    1,638.04x = 2,453.28 × 987.34
  4. Step 4: Simplify right side
    1,638.04x = 2,422,221.48
  5. Step 5: Solve for x
    x = 2,422,221.48/1,638.04
  6. Step 6: Final answer
    x = 1,478.73

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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.