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Finding the Fourth Proportional to 1,921.44, 2,881.84 and 688.62

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Solution

The fourth proportional to 1,921.44, 2,881.84 and 688.62 is: 1,032.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,921.44 : 2,881.84 = 688.62 : x
  2. Step 2: Convert to fraction form
    1,921.44/2,881.84 = 688.62/x
  3. Step 3: Cross multiply
    1,921.44x = 2,881.84 × 688.62
  4. Step 4: Simplify right side
    1,921.44x = 1,984,474.81
  5. Step 5: Solve for x
    x = 1,984,474.81/1,921.44
  6. Step 6: Final answer
    x = 1,032.81

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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.