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Finding the Fourth Proportional to 11,146.65, 15,392.78 and 7,174.67

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Solution

The fourth proportional to 11,146.65, 15,392.78 and 7,174.67 is: 9,907.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,146.65 : 15,392.78 = 7,174.67 : x
  2. Step 2: Convert to fraction form
    11,146.65/15,392.78 = 7,174.67/x
  3. Step 3: Cross multiply
    11,146.65x = 15,392.78 × 7,174.67
  4. Step 4: Simplify right side
    11,146.65x = 110,438,004.05
  5. Step 5: Solve for x
    x = 110,438,004.05/11,146.65
  6. Step 6: Final answer
    x = 9,907.73

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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.