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Finding the Fourth Proportional to 3,154.08, 4,731.39 and 962.82

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Solution

The fourth proportional to 3,154.08, 4,731.39 and 962.82 is: 1,444.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,154.08 : 4,731.39 = 962.82 : x
  2. Step 2: Convert to fraction form
    3,154.08/4,731.39 = 962.82/x
  3. Step 3: Cross multiply
    3,154.08x = 4,731.39 × 962.82
  4. Step 4: Simplify right side
    3,154.08x = 4,555,476.92
  5. Step 5: Solve for x
    x = 4,555,476.92/3,154.08
  6. Step 6: Final answer
    x = 1,444.31

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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.