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Finding the Fourth Proportional to 17,910.40, 26,865.60 and 6,813.40

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Solution

The fourth proportional to 17,910.40, 26,865.60 and 6,813.40 is: 10,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,910.40 : 26,865.60 = 6,813.40 : x
  2. Step 2: Convert to fraction form
    17,910.40/26,865.60 = 6,813.40/x
  3. Step 3: Cross multiply
    17,910.40x = 26,865.60 × 6,813.40
  4. Step 4: Simplify right side
    17,910.40x = 183,046,079.04
  5. Step 5: Solve for x
    x = 183,046,079.04/17,910.40
  6. Step 6: Final answer
    x = 10,220.10

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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.