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Finding the Fourth Proportional to 1,983.82, 2,975.76 and 751.81

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Solution

The fourth proportional to 1,983.82, 2,975.76 and 751.81 is: 1,127.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.82 : 2,975.76 = 751.81 : x
  2. Step 2: Convert to fraction form
    1,983.82/2,975.76 = 751.81/x
  3. Step 3: Cross multiply
    1,983.82x = 2,975.76 × 751.81
  4. Step 4: Simplify right side
    1,983.82x = 2,237,187.49
  5. Step 5: Solve for x
    x = 2,237,187.49/1,983.82
  6. Step 6: Final answer
    x = 1,127.72

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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.