Home / 1,921.20-2,881.04-688.64

Finding the Fourth Proportional to 1,921.20, 2,881.04 and 688.64

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Solution

The fourth proportional to 1,921.20, 2,881.04 and 688.64 is: 1,032.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.20 : 2,881.04 = 688.64 : x
  2. Step 2: Convert to fraction form
    1,921.20/2,881.04 = 688.64/x
  3. Step 3: Cross multiply
    1,921.20x = 2,881.04 × 688.64
  4. Step 4: Simplify right side
    1,921.20x = 1,983,999.39
  5. Step 5: Solve for x
    x = 1,983,999.39/1,921.20
  6. Step 6: Final answer
    x = 1,032.69

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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.