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Finding the Fourth Proportional to 4,458.62, 6,687.94 and 2,148.50

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Solution

The fourth proportional to 4,458.62, 6,687.94 and 2,148.50 is: 3,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.62 : 6,687.94 = 2,148.50 : x
  2. Step 2: Convert to fraction form
    4,458.62/6,687.94 = 2,148.50/x
  3. Step 3: Cross multiply
    4,458.62x = 6,687.94 × 2,148.50
  4. Step 4: Simplify right side
    4,458.62x = 14,369,039.09
  5. Step 5: Solve for x
    x = 14,369,039.09/4,458.62
  6. Step 6: Final answer
    x = 3,222.75

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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.