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Finding the Fourth Proportional to 8,519.60, 12,779.40 and 8,116.40

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Solution

The fourth proportional to 8,519.60, 12,779.40 and 8,116.40 is: 12,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,519.60 : 12,779.40 = 8,116.40 : x
  2. Step 2: Convert to fraction form
    8,519.60/12,779.40 = 8,116.40/x
  3. Step 3: Cross multiply
    8,519.60x = 12,779.40 × 8,116.40
  4. Step 4: Simplify right side
    8,519.60x = 103,722,722.16
  5. Step 5: Solve for x
    x = 103,722,722.16/8,519.60
  6. Step 6: Final answer
    x = 12,174.60

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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.