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Finding the Fourth Proportional to 5,311.92, 7,967.61 and 1,980.84

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Solution

The fourth proportional to 5,311.92, 7,967.61 and 1,980.84 is: 2,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,311.92 : 7,967.61 = 1,980.84 : x
  2. Step 2: Convert to fraction form
    5,311.92/7,967.61 = 1,980.84/x
  3. Step 3: Cross multiply
    5,311.92x = 7,967.61 × 1,980.84
  4. Step 4: Simplify right side
    5,311.92x = 15,782,560.59
  5. Step 5: Solve for x
    x = 15,782,560.59/5,311.92
  6. Step 6: Final answer
    x = 2,971.16

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1.5x scale

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.