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Finding the Fourth Proportional to 1,981.28, 2,971.82 and 500.51

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Solution

The fourth proportional to 1,981.28, 2,971.82 and 500.51 is: 750.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.28 : 2,971.82 = 500.51 : x
  2. Step 2: Convert to fraction form
    1,981.28/2,971.82 = 500.51/x
  3. Step 3: Cross multiply
    1,981.28x = 2,971.82 × 500.51
  4. Step 4: Simplify right side
    1,981.28x = 1,487,408.27
  5. Step 5: Solve for x
    x = 1,487,408.27/1,981.28
  6. Step 6: Final answer
    x = 750.73

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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.