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Finding the Fourth Proportional to 11,625, 17,440.95 and 6,698.18

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Solution

The fourth proportional to 11,625, 17,440.95 and 6,698.18 is: 10,049.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,625 : 17,440.95 = 6,698.18 : x
  2. Step 2: Convert to fraction form
    11,625/17,440.95 = 6,698.18/x
  3. Step 3: Cross multiply
    11,625x = 17,440.95 × 6,698.18
  4. Step 4: Simplify right side
    11,625x = 116,822,535.27
  5. Step 5: Solve for x
    x = 116,822,535.27/11,625
  6. Step 6: Final answer
    x = 10,049.25

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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.