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Finding the Fourth Proportional to 4,458.39, 6,685.08 and 1,827.72

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Solution

The fourth proportional to 4,458.39, 6,685.08 and 1,827.72 is: 2,740.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.39 : 6,685.08 = 1,827.72 : x
  2. Step 2: Convert to fraction form
    4,458.39/6,685.08 = 1,827.72/x
  3. Step 3: Cross multiply
    4,458.39x = 6,685.08 × 1,827.72
  4. Step 4: Simplify right side
    4,458.39x = 12,218,454.42
  5. Step 5: Solve for x
    x = 12,218,454.42/4,458.39
  6. Step 6: Final answer
    x = 2,740.55

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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.