Home / 1,982.84-2,975.28-1,008.95

Finding the Fourth Proportional to 1,982.84, 2,975.28 and 1,008.95

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Solution

The fourth proportional to 1,982.84, 2,975.28 and 1,008.95 is: 1,513.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982.84 : 2,975.28 = 1,008.95 : x
  2. Step 2: Convert to fraction form
    1,982.84/2,975.28 = 1,008.95/x
  3. Step 3: Cross multiply
    1,982.84x = 2,975.28 × 1,008.95
  4. Step 4: Simplify right side
    1,982.84x = 3,001,893.88
  5. Step 5: Solve for x
    x = 3,001,893.88/1,982.84
  6. Step 6: Final answer
    x = 1,513.94

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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.