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Finding the Fourth Proportional to 9,142.81, 13,719.17 and 3,880.78

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Solution

The fourth proportional to 9,142.81, 13,719.17 and 3,880.78 is: 5,823.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.81 : 13,719.17 = 3,880.78 : x
  2. Step 2: Convert to fraction form
    9,142.81/13,719.17 = 3,880.78/x
  3. Step 3: Cross multiply
    9,142.81x = 13,719.17 × 3,880.78
  4. Step 4: Simplify right side
    9,142.81x = 53,241,011.96
  5. Step 5: Solve for x
    x = 53,241,011.96/9,142.81
  6. Step 6: Final answer
    x = 5,823.27

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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.