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Finding the Fourth Proportional to 3,398, 4,688.84 and 1,981.99

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Solution

The fourth proportional to 3,398, 4,688.84 and 1,981.99 is: 2,734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398 : 4,688.84 = 1,981.99 : x
  2. Step 2: Convert to fraction form
    3,398/4,688.84 = 1,981.99/x
  3. Step 3: Cross multiply
    3,398x = 4,688.84 × 1,981.99
  4. Step 4: Simplify right side
    3,398x = 9,293,200.64
  5. Step 5: Solve for x
    x = 9,293,200.64/3,398
  6. Step 6: Final answer
    x = 2,734.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.