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Finding the Fourth Proportional to 1,920.79, 2,881.28 and 534.12

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Solution

The fourth proportional to 1,920.79, 2,881.28 and 534.12 is: 801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.79 : 2,881.28 = 534.12 : x
  2. Step 2: Convert to fraction form
    1,920.79/2,881.28 = 534.12/x
  3. Step 3: Cross multiply
    1,920.79x = 2,881.28 × 534.12
  4. Step 4: Simplify right side
    1,920.79x = 1,538,949.27
  5. Step 5: Solve for x
    x = 1,538,949.27/1,920.79
  6. Step 6: Final answer
    x = 801.21

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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.