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Finding the Fourth Proportional to 20,455.92, 30,683.88 and 8,768.16

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Solution

The fourth proportional to 20,455.92, 30,683.88 and 8,768.16 is: 13,152.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,455.92 : 30,683.88 = 8,768.16 : x
  2. Step 2: Convert to fraction form
    20,455.92/30,683.88 = 8,768.16/x
  3. Step 3: Cross multiply
    20,455.92x = 30,683.88 × 8,768.16
  4. Step 4: Simplify right side
    20,455.92x = 269,041,169.26
  5. Step 5: Solve for x
    x = 269,041,169.26/20,455.92
  6. Step 6: Final answer
    x = 13,152.24

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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.