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Finding the Fourth Proportional to 11,500.65, 15,880.86 and 10,910.16

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Solution

The fourth proportional to 11,500.65, 15,880.86 and 10,910.16 is: 15,065.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,500.65 : 15,880.86 = 10,910.16 : x
  2. Step 2: Convert to fraction form
    11,500.65/15,880.86 = 10,910.16/x
  3. Step 3: Cross multiply
    11,500.65x = 15,880.86 × 10,910.16
  4. Step 4: Simplify right side
    11,500.65x = 173,262,723.54
  5. Step 5: Solve for x
    x = 173,262,723.54/11,500.65
  6. Step 6: Final answer
    x = 15,065.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.