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Finding the Fourth Proportional to 11,499.15, 15,868.62 and 6,394.98

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Solution

The fourth proportional to 11,499.15, 15,868.62 and 6,394.98 is: 8,824.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.15 : 15,868.62 = 6,394.98 : x
  2. Step 2: Convert to fraction form
    11,499.15/15,868.62 = 6,394.98/x
  3. Step 3: Cross multiply
    11,499.15x = 15,868.62 × 6,394.98
  4. Step 4: Simplify right side
    11,499.15x = 101,479,507.53
  5. Step 5: Solve for x
    x = 101,479,507.53/11,499.15
  6. Step 6: Final answer
    x = 8,824.96

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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.