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Finding the Fourth Proportional to 10,236.31, 15,344.88 and 9,323.31

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Solution

The fourth proportional to 10,236.31, 15,344.88 and 9,323.31 is: 13,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,236.31 : 15,344.88 = 9,323.31 : x
  2. Step 2: Convert to fraction form
    10,236.31/15,344.88 = 9,323.31/x
  3. Step 3: Cross multiply
    10,236.31x = 15,344.88 × 9,323.31
  4. Step 4: Simplify right side
    10,236.31x = 143,065,073.15
  5. Step 5: Solve for x
    x = 143,065,073.15/10,236.31
  6. Step 6: Final answer
    x = 13,976.23

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1.5x scale

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.