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Finding the Fourth Proportional to 11,246.40, 16,837.20 and 6,872.40

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Solution

The fourth proportional to 11,246.40, 16,837.20 and 6,872.40 is: 10,288.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,246.40 : 16,837.20 = 6,872.40 : x
  2. Step 2: Convert to fraction form
    11,246.40/16,837.20 = 6,872.40/x
  3. Step 3: Cross multiply
    11,246.40x = 16,837.20 × 6,872.40
  4. Step 4: Simplify right side
    11,246.40x = 115,711,973.28
  5. Step 5: Solve for x
    x = 115,711,973.28/11,246.40
  6. Step 6: Final answer
    x = 10,288.80

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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.