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Finding the Fourth Proportional to 2,388.98, 3,584.07 and 928.55

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Solution

The fourth proportional to 2,388.98, 3,584.07 and 928.55 is: 1,393.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,388.98 : 3,584.07 = 928.55 : x
  2. Step 2: Convert to fraction form
    2,388.98/3,584.07 = 928.55/x
  3. Step 3: Cross multiply
    2,388.98x = 3,584.07 × 928.55
  4. Step 4: Simplify right side
    2,388.98x = 3,327,988.20
  5. Step 5: Solve for x
    x = 3,327,988.20/2,388.98
  6. Step 6: Final answer
    x = 1,393.06

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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.