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Finding the Fourth Proportional to 12,270.22, 16,948.15 and 12,085.90

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Solution

The fourth proportional to 12,270.22, 16,948.15 and 12,085.90 is: 16,693.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,270.22 : 16,948.15 = 12,085.90 : x
  2. Step 2: Convert to fraction form
    12,270.22/16,948.15 = 12,085.90/x
  3. Step 3: Cross multiply
    12,270.22x = 16,948.15 × 12,085.90
  4. Step 4: Simplify right side
    12,270.22x = 204,833,646.09
  5. Step 5: Solve for x
    x = 204,833,646.09/12,270.22
  6. Step 6: Final answer
    x = 16,693.56

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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.