Home / 1,921.14-2,882.25-688.50

Finding the Fourth Proportional to 1,921.14, 2,882.25 and 688.50

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Solution

The fourth proportional to 1,921.14, 2,882.25 and 688.50 is: 1,032.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.14 : 2,882.25 = 688.50 : x
  2. Step 2: Convert to fraction form
    1,921.14/2,882.25 = 688.50/x
  3. Step 3: Cross multiply
    1,921.14x = 2,882.25 × 688.50
  4. Step 4: Simplify right side
    1,921.14x = 1,984,429.13
  5. Step 5: Solve for x
    x = 1,984,429.13/1,921.14
  6. Step 6: Final answer
    x = 1,032.94

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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.