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Finding the Fourth Proportional to 5,913.36, 8,871.12 and 2,218.16

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Solution

The fourth proportional to 5,913.36, 8,871.12 and 2,218.16 is: 3,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,913.36 : 8,871.12 = 2,218.16 : x
  2. Step 2: Convert to fraction form
    5,913.36/8,871.12 = 2,218.16/x
  3. Step 3: Cross multiply
    5,913.36x = 8,871.12 × 2,218.16
  4. Step 4: Simplify right side
    5,913.36x = 19,677,563.54
  5. Step 5: Solve for x
    x = 19,677,563.54/5,913.36
  6. Step 6: Final answer
    x = 3,327.65

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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.