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Finding the Fourth Proportional to 5,115.68, 7,673.00 and 3,216.08

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Solution

The fourth proportional to 5,115.68, 7,673.00 and 3,216.08 is: 4,823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,115.68 : 7,673.00 = 3,216.08 : x
  2. Step 2: Convert to fraction form
    5,115.68/7,673.00 = 3,216.08/x
  3. Step 3: Cross multiply
    5,115.68x = 7,673.00 × 3,216.08
  4. Step 4: Simplify right side
    5,115.68x = 24,676,990.50
  5. Step 5: Solve for x
    x = 24,676,990.50/5,115.68
  6. Step 6: Final answer
    x = 4,823.79

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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.