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Finding the Fourth Proportional to 9,209.98, 12,709.32 and 5,230.57

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Solution

The fourth proportional to 9,209.98, 12,709.32 and 5,230.57 is: 7,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.98 : 12,709.32 = 5,230.57 : x
  2. Step 2: Convert to fraction form
    9,209.98/12,709.32 = 5,230.57/x
  3. Step 3: Cross multiply
    9,209.98x = 12,709.32 × 5,230.57
  4. Step 4: Simplify right side
    9,209.98x = 66,476,987.91
  5. Step 5: Solve for x
    x = 66,476,987.91/9,209.98
  6. Step 6: Final answer
    x = 7,217.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.