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Finding the Fourth Proportional to 3,506.80, 5,235.32 and 3,118

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Solution

The fourth proportional to 3,506.80, 5,235.32 and 3,118 is: 4,654.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,506.80 : 5,235.32 = 3,118 : x
  2. Step 2: Convert to fraction form
    3,506.80/5,235.32 = 3,118/x
  3. Step 3: Cross multiply
    3,506.80x = 5,235.32 × 3,118
  4. Step 4: Simplify right side
    3,506.80x = 16,323,727.76
  5. Step 5: Solve for x
    x = 16,323,727.76/3,506.80
  6. Step 6: Final answer
    x = 4,654.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.