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Finding the Fourth Proportional to 1,972.86, 2,957.22 and 656.26

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Solution

The fourth proportional to 1,972.86, 2,957.22 and 656.26 is: 983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.86 : 2,957.22 = 656.26 : x
  2. Step 2: Convert to fraction form
    1,972.86/2,957.22 = 656.26/x
  3. Step 3: Cross multiply
    1,972.86x = 2,957.22 × 656.26
  4. Step 4: Simplify right side
    1,972.86x = 1,940,715.37
  5. Step 5: Solve for x
    x = 1,940,715.37/1,972.86
  6. Step 6: Final answer
    x = 983.71

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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.