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Finding the Fourth Proportional to 9,003.80, 13,497.82 and 4,321.48

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Solution

The fourth proportional to 9,003.80, 13,497.82 and 4,321.48 is: 6,478.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,003.80 : 13,497.82 = 4,321.48 : x
  2. Step 2: Convert to fraction form
    9,003.80/13,497.82 = 4,321.48/x
  3. Step 3: Cross multiply
    9,003.80x = 13,497.82 × 4,321.48
  4. Step 4: Simplify right side
    9,003.80x = 58,330,559.17
  5. Step 5: Solve for x
    x = 58,330,559.17/9,003.80
  6. Step 6: Final answer
    x = 6,478.44

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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.