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Finding the Fourth Proportional to 10,243.01, 15,369.78 and 8,865.20

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Solution

The fourth proportional to 10,243.01, 15,369.78 and 8,865.20 is: 13,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,243.01 : 15,369.78 = 8,865.20 : x
  2. Step 2: Convert to fraction form
    10,243.01/15,369.78 = 8,865.20/x
  3. Step 3: Cross multiply
    10,243.01x = 15,369.78 × 8,865.20
  4. Step 4: Simplify right side
    10,243.01x = 136,256,245.32
  5. Step 5: Solve for x
    x = 136,256,245.32/10,243.01
  6. Step 6: Final answer
    x = 13,302.36

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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.