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Finding the Fourth Proportional to 3,915.65, 5,902.25 and 3,689.80

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Solution

The fourth proportional to 3,915.65, 5,902.25 and 3,689.80 is: 5,561.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,915.65 : 5,902.25 = 3,689.80 : x
  2. Step 2: Convert to fraction form
    3,915.65/5,902.25 = 3,689.80/x
  3. Step 3: Cross multiply
    3,915.65x = 5,902.25 × 3,689.80
  4. Step 4: Simplify right side
    3,915.65x = 21,778,122.05
  5. Step 5: Solve for x
    x = 21,778,122.05/3,915.65
  6. Step 6: Final answer
    x = 5,561.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.