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Finding the Fourth Proportional to 2,886.28, 4,326.64 and 937.16

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Solution

The fourth proportional to 2,886.28, 4,326.64 and 937.16 is: 1,404.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.28 : 4,326.64 = 937.16 : x
  2. Step 2: Convert to fraction form
    2,886.28/4,326.64 = 937.16/x
  3. Step 3: Cross multiply
    2,886.28x = 4,326.64 × 937.16
  4. Step 4: Simplify right side
    2,886.28x = 4,054,753.94
  5. Step 5: Solve for x
    x = 4,054,753.94/2,886.28
  6. Step 6: Final answer
    x = 1,404.84

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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.