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Finding the Fourth Proportional to 11,509.56, 15,867.90 and 7,523.82

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Solution

The fourth proportional to 11,509.56, 15,867.90 and 7,523.82 is: 10,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,509.56 : 15,867.90 = 7,523.82 : x
  2. Step 2: Convert to fraction form
    11,509.56/15,867.90 = 7,523.82/x
  3. Step 3: Cross multiply
    11,509.56x = 15,867.90 × 7,523.82
  4. Step 4: Simplify right side
    11,509.56x = 119,387,223.38
  5. Step 5: Solve for x
    x = 119,387,223.38/11,509.56
  6. Step 6: Final answer
    x = 10,372.87

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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.