Home / 2,142-2,955.84-1,553.28

Finding the Fourth Proportional to 2,142, 2,955.84 and 1,553.28

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Solution

The fourth proportional to 2,142, 2,955.84 and 1,553.28 is: 2,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142 : 2,955.84 = 1,553.28 : x
  2. Step 2: Convert to fraction form
    2,142/2,955.84 = 1,553.28/x
  3. Step 3: Cross multiply
    2,142x = 2,955.84 × 1,553.28
  4. Step 4: Simplify right side
    2,142x = 4,591,247.16
  5. Step 5: Solve for x
    x = 4,591,247.16/2,142
  6. Step 6: Final answer
    x = 2,143.44

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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.