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Finding the Fourth Proportional to 8,211.66, 12,319.11 and 3,017.58

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Solution

The fourth proportional to 8,211.66, 12,319.11 and 3,017.58 is: 4,526.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.66 : 12,319.11 = 3,017.58 : x
  2. Step 2: Convert to fraction form
    8,211.66/12,319.11 = 3,017.58/x
  3. Step 3: Cross multiply
    8,211.66x = 12,319.11 × 3,017.58
  4. Step 4: Simplify right side
    8,211.66x = 37,173,899.95
  5. Step 5: Solve for x
    x = 37,173,899.95/8,211.66
  6. Step 6: Final answer
    x = 4,526.97

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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.