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Finding the Fourth Proportional to 11,191.12, 15,441.54 and 7,211.65

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Solution

The fourth proportional to 11,191.12, 15,441.54 and 7,211.65 is: 9,950.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,191.12 : 15,441.54 = 7,211.65 : x
  2. Step 2: Convert to fraction form
    11,191.12/15,441.54 = 7,211.65/x
  3. Step 3: Cross multiply
    11,191.12x = 15,441.54 × 7,211.65
  4. Step 4: Simplify right side
    11,191.12x = 111,358,981.94
  5. Step 5: Solve for x
    x = 111,358,981.94/11,191.12
  6. Step 6: Final answer
    x = 9,950.66

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Half scale
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Double scale
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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.