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Finding the Fourth Proportional to 5,309.40, 7,972.60 and 4,222.80

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Solution

The fourth proportional to 5,309.40, 7,972.60 and 4,222.80 is: 6,340.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.40 : 7,972.60 = 4,222.80 : x
  2. Step 2: Convert to fraction form
    5,309.40/7,972.60 = 4,222.80/x
  3. Step 3: Cross multiply
    5,309.40x = 7,972.60 × 4,222.80
  4. Step 4: Simplify right side
    5,309.40x = 33,666,695.28
  5. Step 5: Solve for x
    x = 33,666,695.28/5,309.40
  6. Step 6: Final answer
    x = 6,340.96

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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.