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Finding the Fourth Proportional to 12,806.75, 17,671.43 and 7,428.96

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Solution

The fourth proportional to 12,806.75, 17,671.43 and 7,428.96 is: 10,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.75 : 17,671.43 = 7,428.96 : x
  2. Step 2: Convert to fraction form
    12,806.75/17,671.43 = 7,428.96/x
  3. Step 3: Cross multiply
    12,806.75x = 17,671.43 × 7,428.96
  4. Step 4: Simplify right side
    12,806.75x = 131,280,365.19
  5. Step 5: Solve for x
    x = 131,280,365.19/12,806.75
  6. Step 6: Final answer
    x = 10,250.87

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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.