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Finding the Fourth Proportional to 1,958.27, 2,937.42 and 497.42

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Solution

The fourth proportional to 1,958.27, 2,937.42 and 497.42 is: 746.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.27 : 2,937.42 = 497.42 : x
  2. Step 2: Convert to fraction form
    1,958.27/2,937.42 = 497.42/x
  3. Step 3: Cross multiply
    1,958.27x = 2,937.42 × 497.42
  4. Step 4: Simplify right side
    1,958.27x = 1,461,127.78
  5. Step 5: Solve for x
    x = 1,461,127.78/1,958.27
  6. Step 6: Final answer
    x = 746.13

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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.