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Finding the Fourth Proportional to 1,821.29, 2,730.11 and 847.46

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Solution

The fourth proportional to 1,821.29, 2,730.11 and 847.46 is: 1,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.29 : 2,730.11 = 847.46 : x
  2. Step 2: Convert to fraction form
    1,821.29/2,730.11 = 847.46/x
  3. Step 3: Cross multiply
    1,821.29x = 2,730.11 × 847.46
  4. Step 4: Simplify right side
    1,821.29x = 2,313,661.61
  5. Step 5: Solve for x
    x = 2,313,661.61/1,821.29
  6. Step 6: Final answer
    x = 1,270.35

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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.