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Finding the Fourth Proportional to 2,848.42, 4,272.76 and 873.91

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Solution

The fourth proportional to 2,848.42, 4,272.76 and 873.91 is: 1,310.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,848.42 : 4,272.76 = 873.91 : x
  2. Step 2: Convert to fraction form
    2,848.42/4,272.76 = 873.91/x
  3. Step 3: Cross multiply
    2,848.42x = 4,272.76 × 873.91
  4. Step 4: Simplify right side
    2,848.42x = 3,733,998.10
  5. Step 5: Solve for x
    x = 3,733,998.10/2,848.42
  6. Step 6: Final answer
    x = 1,310.90

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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.