Home / 1,920.82-2,881.77-1,043.14

Finding the Fourth Proportional to 1,920.82, 2,881.77 and 1,043.14

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Solution

The fourth proportional to 1,920.82, 2,881.77 and 1,043.14 is: 1,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.82 : 2,881.77 = 1,043.14 : x
  2. Step 2: Convert to fraction form
    1,920.82/2,881.77 = 1,043.14/x
  3. Step 3: Cross multiply
    1,920.82x = 2,881.77 × 1,043.14
  4. Step 4: Simplify right side
    1,920.82x = 3,006,089.56
  5. Step 5: Solve for x
    x = 3,006,089.56/1,920.82
  6. Step 6: Final answer
    x = 1,565.00

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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.