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Finding the Fourth Proportional to 18,658, 27,987.12 and 6,976.72

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Solution

The fourth proportional to 18,658, 27,987.12 and 6,976.72 is: 10,465.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,658 : 27,987.12 = 6,976.72 : x
  2. Step 2: Convert to fraction form
    18,658/27,987.12 = 6,976.72/x
  3. Step 3: Cross multiply
    18,658x = 27,987.12 × 6,976.72
  4. Step 4: Simplify right side
    18,658x = 195,258,299.85
  5. Step 5: Solve for x
    x = 195,258,299.85/18,658
  6. Step 6: Final answer
    x = 10,465.12

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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.