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Finding the Fourth Proportional to 2,939.29, 4,408.70 and 859.31

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Solution

The fourth proportional to 2,939.29, 4,408.70 and 859.31 is: 1,288.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,939.29 : 4,408.70 = 859.31 : x
  2. Step 2: Convert to fraction form
    2,939.29/4,408.70 = 859.31/x
  3. Step 3: Cross multiply
    2,939.29x = 4,408.70 × 859.31
  4. Step 4: Simplify right side
    2,939.29x = 3,788,430.19
  5. Step 5: Solve for x
    x = 3,788,430.19/2,939.29
  6. Step 6: Final answer
    x = 1,288.89

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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.