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Finding the Fourth Proportional to 2,813.93, 4,221.49 and 964.55

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Solution

The fourth proportional to 2,813.93, 4,221.49 and 964.55 is: 1,447.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.93 : 4,221.49 = 964.55 : x
  2. Step 2: Convert to fraction form
    2,813.93/4,221.49 = 964.55/x
  3. Step 3: Cross multiply
    2,813.93x = 4,221.49 × 964.55
  4. Step 4: Simplify right side
    2,813.93x = 4,071,838.18
  5. Step 5: Solve for x
    x = 4,071,838.18/2,813.93
  6. Step 6: Final answer
    x = 1,447.03

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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.