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Finding the Fourth Proportional to 4,272, 6,404.88 and 2,881.88

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Solution

The fourth proportional to 4,272, 6,404.88 and 2,881.88 is: 4,320.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272 : 6,404.88 = 2,881.88 : x
  2. Step 2: Convert to fraction form
    4,272/6,404.88 = 2,881.88/x
  3. Step 3: Cross multiply
    4,272x = 6,404.88 × 2,881.88
  4. Step 4: Simplify right side
    4,272x = 18,458,095.57
  5. Step 5: Solve for x
    x = 18,458,095.57/4,272
  6. Step 6: Final answer
    x = 4,320.72

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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.