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Finding the Fourth Proportional to 12,238.70, 16,914.30 and 9,253.58

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Solution

The fourth proportional to 12,238.70, 16,914.30 and 9,253.58 is: 12,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,238.70 : 16,914.30 = 9,253.58 : x
  2. Step 2: Convert to fraction form
    12,238.70/16,914.30 = 9,253.58/x
  3. Step 3: Cross multiply
    12,238.70x = 16,914.30 × 9,253.58
  4. Step 4: Simplify right side
    12,238.70x = 156,517,828.19
  5. Step 5: Solve for x
    x = 156,517,828.19/12,238.70
  6. Step 6: Final answer
    x = 12,788.76

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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.