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Finding the Fourth Proportional to 3,364.96, 5,046.06 and 1,981.06

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Solution

The fourth proportional to 3,364.96, 5,046.06 and 1,981.06 is: 2,970.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364.96 : 5,046.06 = 1,981.06 : x
  2. Step 2: Convert to fraction form
    3,364.96/5,046.06 = 1,981.06/x
  3. Step 3: Cross multiply
    3,364.96x = 5,046.06 × 1,981.06
  4. Step 4: Simplify right side
    3,364.96x = 9,996,547.62
  5. Step 5: Solve for x
    x = 9,996,547.62/3,364.96
  6. Step 6: Final answer
    x = 2,970.78

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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.