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Finding the Fourth Proportional to 7,208.17, 10,815.13 and 3,917.41

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Solution

The fourth proportional to 7,208.17, 10,815.13 and 3,917.41 is: 5,877.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208.17 : 10,815.13 = 3,917.41 : x
  2. Step 2: Convert to fraction form
    7,208.17/10,815.13 = 3,917.41/x
  3. Step 3: Cross multiply
    7,208.17x = 10,815.13 × 3,917.41
  4. Step 4: Simplify right side
    7,208.17x = 42,367,244.34
  5. Step 5: Solve for x
    x = 42,367,244.34/7,208.17
  6. Step 6: Final answer
    x = 5,877.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.