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Finding the Fourth Proportional to 9,243.40, 13,872.40 and 4,310.50

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Solution

The fourth proportional to 9,243.40, 13,872.40 and 4,310.50 is: 6,469.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.40 : 13,872.40 = 4,310.50 : x
  2. Step 2: Convert to fraction form
    9,243.40/13,872.40 = 4,310.50/x
  3. Step 3: Cross multiply
    9,243.40x = 13,872.40 × 4,310.50
  4. Step 4: Simplify right side
    9,243.40x = 59,796,980.20
  5. Step 5: Solve for x
    x = 59,796,980.20/9,243.40
  6. Step 6: Final answer
    x = 6,469.15

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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.