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Finding the Fourth Proportional to 10,119.15, 15,180.49 and 3,099

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Solution

The fourth proportional to 10,119.15, 15,180.49 and 3,099 is: 4,649.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,119.15 : 15,180.49 = 3,099 : x
  2. Step 2: Convert to fraction form
    10,119.15/15,180.49 = 3,099/x
  3. Step 3: Cross multiply
    10,119.15x = 15,180.49 × 3,099
  4. Step 4: Simplify right side
    10,119.15x = 47,044,323.02
  5. Step 5: Solve for x
    x = 47,044,323.02/10,119.15
  6. Step 6: Final answer
    x = 4,649.04

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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.