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Finding the Fourth Proportional to 10,305, 15,424.20 and 5,367.60

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Solution

The fourth proportional to 10,305, 15,424.20 and 5,367.60 is: 8,034.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,305 : 15,424.20 = 5,367.60 : x
  2. Step 2: Convert to fraction form
    10,305/15,424.20 = 5,367.60/x
  3. Step 3: Cross multiply
    10,305x = 15,424.20 × 5,367.60
  4. Step 4: Simplify right side
    10,305x = 82,790,935.92
  5. Step 5: Solve for x
    x = 82,790,935.92/10,305
  6. Step 6: Final answer
    x = 8,034.05

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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.