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Finding the Fourth Proportional to 1,981.82, 2,986.36 and 1,642.77

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Solution

The fourth proportional to 1,981.82, 2,986.36 and 1,642.77 is: 2,475.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,981.82 : 2,986.36 = 1,642.77 : x
  2. Step 2: Convert to fraction form
    1,981.82/2,986.36 = 1,642.77/x
  3. Step 3: Cross multiply
    1,981.82x = 2,986.36 × 1,642.77
  4. Step 4: Simplify right side
    1,981.82x = 4,905,902.62
  5. Step 5: Solve for x
    x = 4,905,902.62/1,981.82
  6. Step 6: Final answer
    x = 2,475.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.