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Finding the Fourth Proportional to 1,957.31, 2,935.94 and 983.17

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Solution

The fourth proportional to 1,957.31, 2,935.94 and 983.17 is: 1,474.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,957.31 : 2,935.94 = 983.17 : x
  2. Step 2: Convert to fraction form
    1,957.31/2,935.94 = 983.17/x
  3. Step 3: Cross multiply
    1,957.31x = 2,935.94 × 983.17
  4. Step 4: Simplify right side
    1,957.31x = 2,886,515.87
  5. Step 5: Solve for x
    x = 2,886,515.87/1,957.31
  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.