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Finding the Fourth Proportional to 8,315.46, 12,478.17 and 3,316.95

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Solution

The fourth proportional to 8,315.46, 12,478.17 and 3,316.95 is: 4,977.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,315.46 : 12,478.17 = 3,316.95 : x
  2. Step 2: Convert to fraction form
    8,315.46/12,478.17 = 3,316.95/x
  3. Step 3: Cross multiply
    8,315.46x = 12,478.17 × 3,316.95
  4. Step 4: Simplify right side
    8,315.46x = 41,389,478.42
  5. Step 5: Solve for x
    x = 41,389,478.42/8,315.46
  6. Step 6: Final answer
    x = 4,977.41

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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.