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Finding the Fourth Proportional to 1,402.11, 1,935.66 and 983.73

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Solution

The fourth proportional to 1,402.11, 1,935.66 and 983.73 is: 1,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.11 : 1,935.66 = 983.73 : x
  2. Step 2: Convert to fraction form
    1,402.11/1,935.66 = 983.73/x
  3. Step 3: Cross multiply
    1,402.11x = 1,935.66 × 983.73
  4. Step 4: Simplify right side
    1,402.11x = 1,904,166.81
  5. Step 5: Solve for x
    x = 1,904,166.81/1,402.11
  6. Step 6: Final answer
    x = 1,358.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.