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Finding the Fourth Proportional to 2,879.98, 4,319.07 and 931.78

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Solution

The fourth proportional to 2,879.98, 4,319.07 and 931.78 is: 1,397.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.98 : 4,319.07 = 931.78 : x
  2. Step 2: Convert to fraction form
    2,879.98/4,319.07 = 931.78/x
  3. Step 3: Cross multiply
    2,879.98x = 4,319.07 × 931.78
  4. Step 4: Simplify right side
    2,879.98x = 4,024,423.04
  5. Step 5: Solve for x
    x = 4,024,423.04/2,879.98
  6. Step 6: Final answer
    x = 1,397.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.