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Finding the Fourth Proportional to 12,218.34, 18,319.95 and 8,310.90

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Solution

The fourth proportional to 12,218.34, 18,319.95 and 8,310.90 is: 12,461.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,218.34 : 18,319.95 = 8,310.90 : x
  2. Step 2: Convert to fraction form
    12,218.34/18,319.95 = 8,310.90/x
  3. Step 3: Cross multiply
    12,218.34x = 18,319.95 × 8,310.90
  4. Step 4: Simplify right side
    12,218.34x = 152,255,272.46
  5. Step 5: Solve for x
    x = 152,255,272.46/12,218.34
  6. Step 6: Final answer
    x = 12,461.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.