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Finding the Fourth Proportional to 5,306.99, 7,960.49 and 2,019.30

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Solution

The fourth proportional to 5,306.99, 7,960.49 and 2,019.30 is: 3,028.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.99 : 7,960.49 = 2,019.30 : x
  2. Step 2: Convert to fraction form
    5,306.99/7,960.49 = 2,019.30/x
  3. Step 3: Cross multiply
    5,306.99x = 7,960.49 × 2,019.30
  4. Step 4: Simplify right side
    5,306.99x = 16,074,607.36
  5. Step 5: Solve for x
    x = 16,074,607.36/5,306.99
  6. Step 6: Final answer
    x = 3,028.95

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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.