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Finding the Fourth Proportional to 13,237, 19,842.12 and 8,310.12

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Solution

The fourth proportional to 13,237, 19,842.12 and 8,310.12 is: 12,456.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,237 : 19,842.12 = 8,310.12 : x
  2. Step 2: Convert to fraction form
    13,237/19,842.12 = 8,310.12/x
  3. Step 3: Cross multiply
    13,237x = 19,842.12 × 8,310.12
  4. Step 4: Simplify right side
    13,237x = 164,890,398.25
  5. Step 5: Solve for x
    x = 164,890,398.25/13,237
  6. Step 6: Final answer
    x = 12,456.78

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1.5x scale

Why These Related Problems?

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