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Finding the Fourth Proportional to 2,142.36, 3,215 and 988.12

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Solution

The fourth proportional to 2,142.36, 3,215 and 988.12 is: 1,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.36 : 3,215 = 988.12 : x
  2. Step 2: Convert to fraction form
    2,142.36/3,215 = 988.12/x
  3. Step 3: Cross multiply
    2,142.36x = 3,215 × 988.12
  4. Step 4: Simplify right side
    2,142.36x = 3,176,805.80
  5. Step 5: Solve for x
    x = 3,176,805.80/2,142.36
  6. Step 6: Final answer
    x = 1,482.85

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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.