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Finding the Fourth Proportional to 2,976.69, 4,465.23 and 1,028.64

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Solution

The fourth proportional to 2,976.69, 4,465.23 and 1,028.64 is: 1,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.69 : 4,465.23 = 1,028.64 : x
  2. Step 2: Convert to fraction form
    2,976.69/4,465.23 = 1,028.64/x
  3. Step 3: Cross multiply
    2,976.69x = 4,465.23 × 1,028.64
  4. Step 4: Simplify right side
    2,976.69x = 4,593,114.19
  5. Step 5: Solve for x
    x = 4,593,114.19/2,976.69
  6. Step 6: Final answer
    x = 1,543.03

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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.