Home / 1,982-2,734.40-1,527.88

Finding the Fourth Proportional to 1,982, 2,734.40 and 1,527.88

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Solution

The fourth proportional to 1,982, 2,734.40 and 1,527.88 is: 2,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,982 : 2,734.40 = 1,527.88 : x
  2. Step 2: Convert to fraction form
    1,982/2,734.40 = 1,527.88/x
  3. Step 3: Cross multiply
    1,982x = 2,734.40 × 1,527.88
  4. Step 4: Simplify right side
    1,982x = 4,177,835.07
  5. Step 5: Solve for x
    x = 4,177,835.07/1,982
  6. Step 6: Final answer
    x = 2,107.89

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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.