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Finding the Fourth Proportional to 10,152, 15,191.10 and 8,380.54

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Solution

The fourth proportional to 10,152, 15,191.10 and 8,380.54 is: 12,540.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,152 : 15,191.10 = 8,380.54 : x
  2. Step 2: Convert to fraction form
    10,152/15,191.10 = 8,380.54/x
  3. Step 3: Cross multiply
    10,152x = 15,191.10 × 8,380.54
  4. Step 4: Simplify right side
    10,152x = 127,309,621.19
  5. Step 5: Solve for x
    x = 127,309,621.19/10,152
  6. Step 6: Final answer
    x = 12,540.35

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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.