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Finding the Fourth Proportional to 1,958.02, 2,933.19 and 859.78

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Solution

The fourth proportional to 1,958.02, 2,933.19 and 859.78 is: 1,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,958.02 : 2,933.19 = 859.78 : x
  2. Step 2: Convert to fraction form
    1,958.02/2,933.19 = 859.78/x
  3. Step 3: Cross multiply
    1,958.02x = 2,933.19 × 859.78
  4. Step 4: Simplify right side
    1,958.02x = 2,521,898.10
  5. Step 5: Solve for x
    x = 2,521,898.10/1,958.02
  6. Step 6: Final answer
    x = 1,287.98

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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.