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Finding the Fourth Proportional to 15,872.92, 23,809.42 and 4,779.64

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Solution

The fourth proportional to 15,872.92, 23,809.42 and 4,779.64 is: 7,169.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,872.92 : 23,809.42 = 4,779.64 : x
  2. Step 2: Convert to fraction form
    15,872.92/23,809.42 = 4,779.64/x
  3. Step 3: Cross multiply
    15,872.92x = 23,809.42 × 4,779.64
  4. Step 4: Simplify right side
    15,872.92x = 113,800,456.21
  5. Step 5: Solve for x
    x = 113,800,456.21/15,872.92
  6. Step 6: Final answer
    x = 7,169.47

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1.5x scale

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.