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Finding the Fourth Proportional to 5,281.20, 7,922.10 and 1,771.67

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Solution

The fourth proportional to 5,281.20, 7,922.10 and 1,771.67 is: 2,657.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,281.20 : 7,922.10 = 1,771.67 : x
  2. Step 2: Convert to fraction form
    5,281.20/7,922.10 = 1,771.67/x
  3. Step 3: Cross multiply
    5,281.20x = 7,922.10 × 1,771.67
  4. Step 4: Simplify right side
    5,281.20x = 14,035,373.36
  5. Step 5: Solve for x
    x = 14,035,373.36/5,281.20
  6. Step 6: Final answer
    x = 2,657.61

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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.