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Finding the Fourth Proportional to 5,215, 7,823.78 and 1,567

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Solution

The fourth proportional to 5,215, 7,823.78 and 1,567 is: 2,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 7,823.78 = 1,567 : x
  2. Step 2: Convert to fraction form
    5,215/7,823.78 = 1,567/x
  3. Step 3: Cross multiply
    5,215x = 7,823.78 × 1,567
  4. Step 4: Simplify right side
    5,215x = 12,259,863.26
  5. Step 5: Solve for x
    x = 12,259,863.26/5,215
  6. Step 6: Final answer
    x = 2,350.88

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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.