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Finding the Fourth Proportional to 5,309.60, 7,964.40 and 5,271.20

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Solution

The fourth proportional to 5,309.60, 7,964.40 and 5,271.20 is: 7,906.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,309.60 : 7,964.40 = 5,271.20 : x
  2. Step 2: Convert to fraction form
    5,309.60/7,964.40 = 5,271.20/x
  3. Step 3: Cross multiply
    5,309.60x = 7,964.40 × 5,271.20
  4. Step 4: Simplify right side
    5,309.60x = 41,981,945.28
  5. Step 5: Solve for x
    x = 41,981,945.28/5,309.60
  6. Step 6: Final answer
    x = 7,906.80

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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.