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Finding the Fourth Proportional to 3,020.16, 4,530.88 and 968

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Solution

The fourth proportional to 3,020.16, 4,530.88 and 968 is: 1,452.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,020.16 : 4,530.88 = 968 : x
  2. Step 2: Convert to fraction form
    3,020.16/4,530.88 = 968/x
  3. Step 3: Cross multiply
    3,020.16x = 4,530.88 × 968
  4. Step 4: Simplify right side
    3,020.16x = 4,385,891.84
  5. Step 5: Solve for x
    x = 4,385,891.84/3,020.16
  6. Step 6: Final answer
    x = 1,452.21

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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.