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Finding the Fourth Proportional to 5,381.34, 8,071.65 and 1,683.87

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Solution

The fourth proportional to 5,381.34, 8,071.65 and 1,683.87 is: 2,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.34 : 8,071.65 = 1,683.87 : x
  2. Step 2: Convert to fraction form
    5,381.34/8,071.65 = 1,683.87/x
  3. Step 3: Cross multiply
    5,381.34x = 8,071.65 × 1,683.87
  4. Step 4: Simplify right side
    5,381.34x = 13,591,609.29
  5. Step 5: Solve for x
    x = 13,591,609.29/5,381.34
  6. Step 6: Final answer
    x = 2,525.69

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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.