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Finding the Fourth Proportional to 8,719.72, 13,084.14 and 4,773.82

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Solution

The fourth proportional to 8,719.72, 13,084.14 and 4,773.82 is: 7,163.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.72 : 13,084.14 = 4,773.82 : x
  2. Step 2: Convert to fraction form
    8,719.72/13,084.14 = 4,773.82/x
  3. Step 3: Cross multiply
    8,719.72x = 13,084.14 × 4,773.82
  4. Step 4: Simplify right side
    8,719.72x = 62,461,329.21
  5. Step 5: Solve for x
    x = 62,461,329.21/8,719.72
  6. Step 6: Final answer
    x = 7,163.23

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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.