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Finding the Fourth Proportional to 4,287, 6,428.83 and 1,821.92

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Solution

The fourth proportional to 4,287, 6,428.83 and 1,821.92 is: 2,732.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287 : 6,428.83 = 1,821.92 : x
  2. Step 2: Convert to fraction form
    4,287/6,428.83 = 1,821.92/x
  3. Step 3: Cross multiply
    4,287x = 6,428.83 × 1,821.92
  4. Step 4: Simplify right side
    4,287x = 11,712,813.95
  5. Step 5: Solve for x
    x = 11,712,813.95/4,287
  6. Step 6: Final answer
    x = 2,732.17

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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.