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Finding the Fourth Proportional to 2,879.34, 3,971.03 and 2,319.63

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Solution

The fourth proportional to 2,879.34, 3,971.03 and 2,319.63 is: 3,199.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,879.34 : 3,971.03 = 2,319.63 : x
  2. Step 2: Convert to fraction form
    2,879.34/3,971.03 = 2,319.63/x
  3. Step 3: Cross multiply
    2,879.34x = 3,971.03 × 2,319.63
  4. Step 4: Simplify right side
    2,879.34x = 9,211,306.26
  5. Step 5: Solve for x
    x = 9,211,306.26/2,879.34
  6. Step 6: Final answer
    x = 3,199.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.