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Finding the Fourth Proportional to 20,585.92, 30,878.16 and 8,732.08

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Solution

The fourth proportional to 20,585.92, 30,878.16 and 8,732.08 is: 13,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,585.92 : 30,878.16 = 8,732.08 : x
  2. Step 2: Convert to fraction form
    20,585.92/30,878.16 = 8,732.08/x
  3. Step 3: Cross multiply
    20,585.92x = 30,878.16 × 8,732.08
  4. Step 4: Simplify right side
    20,585.92x = 269,630,563.37
  5. Step 5: Solve for x
    x = 269,630,563.37/20,585.92
  6. Step 6: Final answer
    x = 13,097.81

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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.