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Finding the Fourth Proportional to 5,300.40, 7,958.70 and 4,069.20

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Solution

The fourth proportional to 5,300.40, 7,958.70 and 4,069.20 is: 6,110.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.40 : 7,958.70 = 4,069.20 : x
  2. Step 2: Convert to fraction form
    5,300.40/7,958.70 = 4,069.20/x
  3. Step 3: Cross multiply
    5,300.40x = 7,958.70 × 4,069.20
  4. Step 4: Simplify right side
    5,300.40x = 32,385,542.04
  5. Step 5: Solve for x
    x = 32,385,542.04/5,300.40
  6. Step 6: Final answer
    x = 6,110.02

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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.