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Finding the Fourth Proportional to 20,800.76, 31,200.78 and 5,218.16

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Solution

The fourth proportional to 20,800.76, 31,200.78 and 5,218.16 is: 7,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,800.76 : 31,200.78 = 5,218.16 : x
  2. Step 2: Convert to fraction form
    20,800.76/31,200.78 = 5,218.16/x
  3. Step 3: Cross multiply
    20,800.76x = 31,200.78 × 5,218.16
  4. Step 4: Simplify right side
    20,800.76x = 162,810,662.16
  5. Step 5: Solve for x
    x = 162,810,662.16/20,800.76
  6. Step 6: Final answer
    x = 7,827.15

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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.