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Finding the Fourth Proportional to 10,164.32, 15,239.28 and 3,919.04

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Solution

The fourth proportional to 10,164.32, 15,239.28 and 3,919.04 is: 5,875.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.32 : 15,239.28 = 3,919.04 : x
  2. Step 2: Convert to fraction form
    10,164.32/15,239.28 = 3,919.04/x
  3. Step 3: Cross multiply
    10,164.32x = 15,239.28 × 3,919.04
  4. Step 4: Simplify right side
    10,164.32x = 59,723,347.89
  5. Step 5: Solve for x
    x = 59,723,347.89/10,164.32
  6. Step 6: Final answer
    x = 5,875.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.