Home / 2,270-3,122.88-2,172.80

Finding the Fourth Proportional to 2,270, 3,122.88 and 2,172.80

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Solution

The fourth proportional to 2,270, 3,122.88 and 2,172.80 is: 2,989.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,122.88 = 2,172.80 : x
  2. Step 2: Convert to fraction form
    2,270/3,122.88 = 2,172.80/x
  3. Step 3: Cross multiply
    2,270x = 3,122.88 × 2,172.80
  4. Step 4: Simplify right side
    2,270x = 6,785,393.66
  5. Step 5: Solve for x
    x = 6,785,393.66/2,270
  6. Step 6: Final answer
    x = 2,989.16

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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.