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Finding the Fourth Proportional to 2,871.84, 4,309.02 and 2,228.16

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Solution

The fourth proportional to 2,871.84, 4,309.02 and 2,228.16 is: 3,343.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,871.84 : 4,309.02 = 2,228.16 : x
  2. Step 2: Convert to fraction form
    2,871.84/4,309.02 = 2,228.16/x
  3. Step 3: Cross multiply
    2,871.84x = 4,309.02 × 2,228.16
  4. Step 4: Simplify right side
    2,871.84x = 9,601,186.00
  5. Step 5: Solve for x
    x = 9,601,186.00/2,871.84
  6. Step 6: Final answer
    x = 3,343.22

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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.