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Finding the Fourth Proportional to 2,779.43, 4,167.43 and 930.07

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Solution

The fourth proportional to 2,779.43, 4,167.43 and 930.07 is: 1,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,779.43 : 4,167.43 = 930.07 : x
  2. Step 2: Convert to fraction form
    2,779.43/4,167.43 = 930.07/x
  3. Step 3: Cross multiply
    2,779.43x = 4,167.43 × 930.07
  4. Step 4: Simplify right side
    2,779.43x = 3,876,001.62
  5. Step 5: Solve for x
    x = 3,876,001.62/2,779.43
  6. Step 6: Final answer
    x = 1,394.53

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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.