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Finding the Fourth Proportional to 2,814.84, 4,222.80 and 965.88

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Solution

The fourth proportional to 2,814.84, 4,222.80 and 965.88 is: 1,449.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,814.84 : 4,222.80 = 965.88 : x
  2. Step 2: Convert to fraction form
    2,814.84/4,222.80 = 965.88/x
  3. Step 3: Cross multiply
    2,814.84x = 4,222.80 × 965.88
  4. Step 4: Simplify right side
    2,814.84x = 4,078,718.06
  5. Step 5: Solve for x
    x = 4,078,718.06/2,814.84
  6. Step 6: Final answer
    x = 1,449.01

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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.