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Finding the Fourth Proportional to 5,286.81, 7,931.12 and 1,823.25

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Solution

The fourth proportional to 5,286.81, 7,931.12 and 1,823.25 is: 2,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.81 : 7,931.12 = 1,823.25 : x
  2. Step 2: Convert to fraction form
    5,286.81/7,931.12 = 1,823.25/x
  3. Step 3: Cross multiply
    5,286.81x = 7,931.12 × 1,823.25
  4. Step 4: Simplify right side
    5,286.81x = 14,460,405.42
  5. Step 5: Solve for x
    x = 14,460,405.42/5,286.81
  6. Step 6: Final answer
    x = 2,735.19

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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.