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Finding the Fourth Proportional to 10,080.80, 15,110.40 and 3,838.40

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Solution

The fourth proportional to 10,080.80, 15,110.40 and 3,838.40 is: 5,753.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,080.80 : 15,110.40 = 3,838.40 : x
  2. Step 2: Convert to fraction form
    10,080.80/15,110.40 = 3,838.40/x
  3. Step 3: Cross multiply
    10,080.80x = 15,110.40 × 3,838.40
  4. Step 4: Simplify right side
    10,080.80x = 57,999,759.36
  5. Step 5: Solve for x
    x = 57,999,759.36/10,080.80
  6. Step 6: Final answer
    x = 5,753.49

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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.