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Finding the Fourth Proportional to 11,500.53, 15,868.08 and 8,318.49

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Solution

The fourth proportional to 11,500.53, 15,868.08 and 8,318.49 is: 11,477.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.53 : 15,868.08 = 8,318.49 : x
  2. Step 2: Convert to fraction form
    11,500.53/15,868.08 = 8,318.49/x
  3. Step 3: Cross multiply
    11,500.53x = 15,868.08 × 8,318.49
  4. Step 4: Simplify right side
    11,500.53x = 131,998,464.80
  5. Step 5: Solve for x
    x = 131,998,464.80/11,500.53
  6. Step 6: Final answer
    x = 11,477.60

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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.