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Finding the Fourth Proportional to 7,247, 10,872.40 and 2,316.74

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Solution

The fourth proportional to 7,247, 10,872.40 and 2,316.74 is: 3,475.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247 : 10,872.40 = 2,316.74 : x
  2. Step 2: Convert to fraction form
    7,247/10,872.40 = 2,316.74/x
  3. Step 3: Cross multiply
    7,247x = 10,872.40 × 2,316.74
  4. Step 4: Simplify right side
    7,247x = 25,188,523.98
  5. Step 5: Solve for x
    x = 25,188,523.98/7,247
  6. Step 6: Final answer
    x = 3,475.72

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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.