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Finding the Fourth Proportional to 10,186.50, 15,302.64 and 7,231.62

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Solution

The fourth proportional to 10,186.50, 15,302.64 and 7,231.62 is: 10,863.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,186.50 : 15,302.64 = 7,231.62 : x
  2. Step 2: Convert to fraction form
    10,186.50/15,302.64 = 7,231.62/x
  3. Step 3: Cross multiply
    10,186.50x = 15,302.64 × 7,231.62
  4. Step 4: Simplify right side
    10,186.50x = 110,662,877.48
  5. Step 5: Solve for x
    x = 110,662,877.48/10,186.50
  6. Step 6: Final answer
    x = 10,863.68

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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.