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Finding the Fourth Proportional to 1,958.23, 2,937.79 and 571.53

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Solution

The fourth proportional to 1,958.23, 2,937.79 and 571.53 is: 857.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.23 : 2,937.79 = 571.53 : x
  2. Step 2: Convert to fraction form
    1,958.23/2,937.79 = 571.53/x
  3. Step 3: Cross multiply
    1,958.23x = 2,937.79 × 571.53
  4. Step 4: Simplify right side
    1,958.23x = 1,679,035.12
  5. Step 5: Solve for x
    x = 1,679,035.12/1,958.23
  6. Step 6: Final answer
    x = 857.43

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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.