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Finding the Fourth Proportional to 5,287.72, 7,926.18 and 1,822

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Solution

The fourth proportional to 5,287.72, 7,926.18 and 1,822 is: 2,731.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.72 : 7,926.18 = 1,822 : x
  2. Step 2: Convert to fraction form
    5,287.72/7,926.18 = 1,822/x
  3. Step 3: Cross multiply
    5,287.72x = 7,926.18 × 1,822
  4. Step 4: Simplify right side
    5,287.72x = 14,441,499.96
  5. Step 5: Solve for x
    x = 14,441,499.96/5,287.72
  6. Step 6: Final answer
    x = 2,731.14

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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.