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Finding the Fourth Proportional to 5,722.80, 8,584.20 and 3,098.40

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Solution

The fourth proportional to 5,722.80, 8,584.20 and 3,098.40 is: 4,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,722.80 : 8,584.20 = 3,098.40 : x
  2. Step 2: Convert to fraction form
    5,722.80/8,584.20 = 3,098.40/x
  3. Step 3: Cross multiply
    5,722.80x = 8,584.20 × 3,098.40
  4. Step 4: Simplify right side
    5,722.80x = 26,597,285.28
  5. Step 5: Solve for x
    x = 26,597,285.28/5,722.80
  6. Step 6: Final answer
    x = 4,647.60

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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.