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Finding the Fourth Proportional to 4,510.92, 6,769.80 and 1,915.68

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Solution

The fourth proportional to 4,510.92, 6,769.80 and 1,915.68 is: 2,874.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,510.92 : 6,769.80 = 1,915.68 : x
  2. Step 2: Convert to fraction form
    4,510.92/6,769.80 = 1,915.68/x
  3. Step 3: Cross multiply
    4,510.92x = 6,769.80 × 1,915.68
  4. Step 4: Simplify right side
    4,510.92x = 12,968,770.46
  5. Step 5: Solve for x
    x = 12,968,770.46/4,510.92
  6. Step 6: Final answer
    x = 2,874.97

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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.