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Finding the Fourth Proportional to 8,143.74, 12,215.64 and 1,987.74

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Solution

The fourth proportional to 8,143.74, 12,215.64 and 1,987.74 is: 2,981.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.74 : 12,215.64 = 1,987.74 : x
  2. Step 2: Convert to fraction form
    8,143.74/12,215.64 = 1,987.74/x
  3. Step 3: Cross multiply
    8,143.74x = 12,215.64 × 1,987.74
  4. Step 4: Simplify right side
    8,143.74x = 24,281,516.25
  5. Step 5: Solve for x
    x = 24,281,516.25/8,143.74
  6. Step 6: Final answer
    x = 2,981.62

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Similar ratio
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1.5x scale

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.