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Finding the Fourth Proportional to 11,224.66, 15,488.78 and 7,189.65

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Solution

The fourth proportional to 11,224.66, 15,488.78 and 7,189.65 is: 9,920.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,224.66 : 15,488.78 = 7,189.65 : x
  2. Step 2: Convert to fraction form
    11,224.66/15,488.78 = 7,189.65/x
  3. Step 3: Cross multiply
    11,224.66x = 15,488.78 × 7,189.65
  4. Step 4: Simplify right side
    11,224.66x = 111,358,907.13
  5. Step 5: Solve for x
    x = 111,358,907.13/11,224.66
  6. Step 6: Final answer
    x = 9,920.92

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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.