Home / 1,983.89-2,970.57-1,202.85

Finding the Fourth Proportional to 1,983.89, 2,970.57 and 1,202.85

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Solution

The fourth proportional to 1,983.89, 2,970.57 and 1,202.85 is: 1,801.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.89 : 2,970.57 = 1,202.85 : x
  2. Step 2: Convert to fraction form
    1,983.89/2,970.57 = 1,202.85/x
  3. Step 3: Cross multiply
    1,983.89x = 2,970.57 × 1,202.85
  4. Step 4: Simplify right side
    1,983.89x = 3,573,154.64
  5. Step 5: Solve for x
    x = 3,573,154.64/1,983.89
  6. Step 6: Final answer
    x = 1,801.08

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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.