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Finding the Fourth Proportional to 4,578.34, 6,865.86 and 1,979.86

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Solution

The fourth proportional to 4,578.34, 6,865.86 and 1,979.86 is: 2,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.34 : 6,865.86 = 1,979.86 : x
  2. Step 2: Convert to fraction form
    4,578.34/6,865.86 = 1,979.86/x
  3. Step 3: Cross multiply
    4,578.34x = 6,865.86 × 1,979.86
  4. Step 4: Simplify right side
    4,578.34x = 13,593,407.25
  5. Step 5: Solve for x
    x = 13,593,407.25/4,578.34
  6. Step 6: Final answer
    x = 2,969.07

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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.