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Finding the Fourth Proportional to 12,230.31, 16,891.68 and 8,244.57

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Solution

The fourth proportional to 12,230.31, 16,891.68 and 8,244.57 is: 11,386.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,230.31 : 16,891.68 = 8,244.57 : x
  2. Step 2: Convert to fraction form
    12,230.31/16,891.68 = 8,244.57/x
  3. Step 3: Cross multiply
    12,230.31x = 16,891.68 × 8,244.57
  4. Step 4: Simplify right side
    12,230.31x = 139,264,638.18
  5. Step 5: Solve for x
    x = 139,264,638.18/12,230.31
  6. Step 6: Final answer
    x = 11,386.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.