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Finding the Fourth Proportional to 3,830, 5,287.88 and 2,989.24

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Solution

The fourth proportional to 3,830, 5,287.88 and 2,989.24 is: 4,127.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830 : 5,287.88 = 2,989.24 : x
  2. Step 2: Convert to fraction form
    3,830/5,287.88 = 2,989.24/x
  3. Step 3: Cross multiply
    3,830x = 5,287.88 × 2,989.24
  4. Step 4: Simplify right side
    3,830x = 15,806,742.41
  5. Step 5: Solve for x
    x = 15,806,742.41/3,830
  6. Step 6: Final answer
    x = 4,127.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.