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Finding the Fourth Proportional to 11,493.72, 15,857.64 and 7,243.65

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Solution

The fourth proportional to 11,493.72, 15,857.64 and 7,243.65 is: 9,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493.72 : 15,857.64 = 7,243.65 : x
  2. Step 2: Convert to fraction form
    11,493.72/15,857.64 = 7,243.65/x
  3. Step 3: Cross multiply
    11,493.72x = 15,857.64 × 7,243.65
  4. Step 4: Simplify right side
    11,493.72x = 114,867,193.99
  5. Step 5: Solve for x
    x = 114,867,193.99/11,493.72
  6. Step 6: Final answer
    x = 9,993.91

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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.