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Finding the Fourth Proportional to 10,072.80, 15,109.20 and 2,678.40

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Solution

The fourth proportional to 10,072.80, 15,109.20 and 2,678.40 is: 4,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,072.80 : 15,109.20 = 2,678.40 : x
  2. Step 2: Convert to fraction form
    10,072.80/15,109.20 = 2,678.40/x
  3. Step 3: Cross multiply
    10,072.80x = 15,109.20 × 2,678.40
  4. Step 4: Simplify right side
    10,072.80x = 40,468,481.28
  5. Step 5: Solve for x
    x = 40,468,481.28/10,072.80
  6. Step 6: Final answer
    x = 4,017.60

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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.