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Finding the Fourth Proportional to 1,972.36, 2,957.10 and 817

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Solution

The fourth proportional to 1,972.36, 2,957.10 and 817 is: 1,224.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.36 : 2,957.10 = 817 : x
  2. Step 2: Convert to fraction form
    1,972.36/2,957.10 = 817/x
  3. Step 3: Cross multiply
    1,972.36x = 2,957.10 × 817
  4. Step 4: Simplify right side
    1,972.36x = 2,415,950.70
  5. Step 5: Solve for x
    x = 2,415,950.70/1,972.36
  6. Step 6: Final answer
    x = 1,224.90

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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.