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Finding the Fourth Proportional to 1,981.82, 2,972.16 and 594.82

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Solution

The fourth proportional to 1,981.82, 2,972.16 and 594.82 is: 892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.82 : 2,972.16 = 594.82 : x
  2. Step 2: Convert to fraction form
    1,981.82/2,972.16 = 594.82/x
  3. Step 3: Cross multiply
    1,981.82x = 2,972.16 × 594.82
  4. Step 4: Simplify right side
    1,981.82x = 1,767,900.21
  5. Step 5: Solve for x
    x = 1,767,900.21/1,981.82
  6. Step 6: Final answer
    x = 892.06

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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.