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Finding the Fourth Proportional to 10,145.80, 15,193.85 and 8,380

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Solution

The fourth proportional to 10,145.80, 15,193.85 and 8,380 is: 12,549.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,145.80 : 15,193.85 = 8,380 : x
  2. Step 2: Convert to fraction form
    10,145.80/15,193.85 = 8,380/x
  3. Step 3: Cross multiply
    10,145.80x = 15,193.85 × 8,380
  4. Step 4: Simplify right side
    10,145.80x = 127,324,463
  5. Step 5: Solve for x
    x = 127,324,463/10,145.80
  6. Step 6: Final answer
    x = 12,549.47

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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.