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Finding the Fourth Proportional to 7,827, 11,732.28 and 3,447.53

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Solution

The fourth proportional to 7,827, 11,732.28 and 3,447.53 is: 5,167.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,827 : 11,732.28 = 3,447.53 : x
  2. Step 2: Convert to fraction form
    7,827/11,732.28 = 3,447.53/x
  3. Step 3: Cross multiply
    7,827x = 11,732.28 × 3,447.53
  4. Step 4: Simplify right side
    7,827x = 40,447,328.61
  5. Step 5: Solve for x
    x = 40,447,328.61/7,827
  6. Step 6: Final answer
    x = 5,167.67

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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.