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Finding the Fourth Proportional to 2,443, 3,664.66 and 983.12

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Solution

The fourth proportional to 2,443, 3,664.66 and 983.12 is: 1,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,443 : 3,664.66 = 983.12 : x
  2. Step 2: Convert to fraction form
    2,443/3,664.66 = 983.12/x
  3. Step 3: Cross multiply
    2,443x = 3,664.66 × 983.12
  4. Step 4: Simplify right side
    2,443x = 3,602,800.54
  5. Step 5: Solve for x
    x = 3,602,800.54/2,443
  6. Step 6: Final answer
    x = 1,474.74

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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.