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Finding the Fourth Proportional to 9,205.70, 13,772.10 and 7,986.65

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Solution

The fourth proportional to 9,205.70, 13,772.10 and 7,986.65 is: 11,948.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.70 : 13,772.10 = 7,986.65 : x
  2. Step 2: Convert to fraction form
    9,205.70/13,772.10 = 7,986.65/x
  3. Step 3: Cross multiply
    9,205.70x = 13,772.10 × 7,986.65
  4. Step 4: Simplify right side
    9,205.70x = 109,992,942.47
  5. Step 5: Solve for x
    x = 109,992,942.47/9,205.70
  6. Step 6: Final answer
    x = 11,948.35

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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.