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Finding the Fourth Proportional to 5,281.96, 7,922.32 and 1,386.68

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Solution

The fourth proportional to 5,281.96, 7,922.32 and 1,386.68 is: 2,079.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.96 : 7,922.32 = 1,386.68 : x
  2. Step 2: Convert to fraction form
    5,281.96/7,922.32 = 1,386.68/x
  3. Step 3: Cross multiply
    5,281.96x = 7,922.32 × 1,386.68
  4. Step 4: Simplify right side
    5,281.96x = 10,985,722.70
  5. Step 5: Solve for x
    x = 10,985,722.70/5,281.96
  6. Step 6: Final answer
    x = 2,079.86

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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.