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Finding the Fourth Proportional to 7,208, 10,816.20 and 3,047.76

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Solution

The fourth proportional to 7,208, 10,816.20 and 3,047.76 is: 4,573.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,208 : 10,816.20 = 3,047.76 : x
  2. Step 2: Convert to fraction form
    7,208/10,816.20 = 3,047.76/x
  3. Step 3: Cross multiply
    7,208x = 10,816.20 × 3,047.76
  4. Step 4: Simplify right side
    7,208x = 32,965,181.71
  5. Step 5: Solve for x
    x = 32,965,181.71/7,208
  6. Step 6: Final answer
    x = 4,573.42

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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.