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Finding the Fourth Proportional to 8,510, 12,770.46 and 3,315.90

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Solution

The fourth proportional to 8,510, 12,770.46 and 3,315.90 is: 4,975.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510 : 12,770.46 = 3,315.90 : x
  2. Step 2: Convert to fraction form
    8,510/12,770.46 = 3,315.90/x
  3. Step 3: Cross multiply
    8,510x = 12,770.46 × 3,315.90
  4. Step 4: Simplify right side
    8,510x = 42,345,568.31
  5. Step 5: Solve for x
    x = 42,345,568.31/8,510
  6. Step 6: Final answer
    x = 4,975.98

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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.