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Finding the Fourth Proportional to 1,888.43, 2,833.75 and 792.71

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Solution

The fourth proportional to 1,888.43, 2,833.75 and 792.71 is: 1,189.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,888.43 : 2,833.75 = 792.71 : x
  2. Step 2: Convert to fraction form
    1,888.43/2,833.75 = 792.71/x
  3. Step 3: Cross multiply
    1,888.43x = 2,833.75 × 792.71
  4. Step 4: Simplify right side
    1,888.43x = 2,246,325.81
  5. Step 5: Solve for x
    x = 2,246,325.81/1,888.43
  6. Step 6: Final answer
    x = 1,189.52

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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.