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Finding the Fourth Proportional to 5,215, 7,815.02 and 3,915

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Solution

The fourth proportional to 5,215, 7,815.02 and 3,915 is: 5,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215 : 7,815.02 = 3,915 : x
  2. Step 2: Convert to fraction form
    5,215/7,815.02 = 3,915/x
  3. Step 3: Cross multiply
    5,215x = 7,815.02 × 3,915
  4. Step 4: Simplify right side
    5,215x = 30,595,803.30
  5. Step 5: Solve for x
    x = 30,595,803.30/5,215
  6. Step 6: Final answer
    x = 5,866.88

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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.