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Finding the Fourth Proportional to 8,142.77, 12,214.17 and 1,986.77

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Solution

The fourth proportional to 8,142.77, 12,214.17 and 1,986.77 is: 2,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.77 : 12,214.17 = 1,986.77 : x
  2. Step 2: Convert to fraction form
    8,142.77/12,214.17 = 1,986.77/x
  3. Step 3: Cross multiply
    8,142.77x = 12,214.17 × 1,986.77
  4. Step 4: Simplify right side
    8,142.77x = 24,266,746.53
  5. Step 5: Solve for x
    x = 24,266,746.53/8,142.77
  6. Step 6: Final answer
    x = 2,980.16

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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.