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Finding the Fourth Proportional to 10,987, 15,162.06 and 6,019

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Solution

The fourth proportional to 10,987, 15,162.06 and 6,019 is: 8,306.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,987 : 15,162.06 = 6,019 : x
  2. Step 2: Convert to fraction form
    10,987/15,162.06 = 6,019/x
  3. Step 3: Cross multiply
    10,987x = 15,162.06 × 6,019
  4. Step 4: Simplify right side
    10,987x = 91,260,439.14
  5. Step 5: Solve for x
    x = 91,260,439.14/10,987
  6. Step 6: Final answer
    x = 8,306.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.