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Finding the Fourth Proportional to 10,133.92, 15,200.88 and 2,738.40

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Solution

The fourth proportional to 10,133.92, 15,200.88 and 2,738.40 is: 4,107.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,133.92 : 15,200.88 = 2,738.40 : x
  2. Step 2: Convert to fraction form
    10,133.92/15,200.88 = 2,738.40/x
  3. Step 3: Cross multiply
    10,133.92x = 15,200.88 × 2,738.40
  4. Step 4: Simplify right side
    10,133.92x = 41,626,089.79
  5. Step 5: Solve for x
    x = 41,626,089.79/10,133.92
  6. Step 6: Final answer
    x = 4,107.60

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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.