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Finding the Fourth Proportional to 5,409.80, 8,114.70 and 1,947.32

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Solution

The fourth proportional to 5,409.80, 8,114.70 and 1,947.32 is: 2,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.80 : 8,114.70 = 1,947.32 : x
  2. Step 2: Convert to fraction form
    5,409.80/8,114.70 = 1,947.32/x
  3. Step 3: Cross multiply
    5,409.80x = 8,114.70 × 1,947.32
  4. Step 4: Simplify right side
    5,409.80x = 15,801,917.60
  5. Step 5: Solve for x
    x = 15,801,917.60/5,409.80
  6. Step 6: Final answer
    x = 2,920.98

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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.