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Finding the Fourth Proportional to 13,384.68, 20,076.84 and 4,150.68

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Solution

The fourth proportional to 13,384.68, 20,076.84 and 4,150.68 is: 6,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,384.68 : 20,076.84 = 4,150.68 : x
  2. Step 2: Convert to fraction form
    13,384.68/20,076.84 = 4,150.68/x
  3. Step 3: Cross multiply
    13,384.68x = 20,076.84 × 4,150.68
  4. Step 4: Simplify right side
    13,384.68x = 83,332,538.25
  5. Step 5: Solve for x
    x = 83,332,538.25/13,384.68
  6. Step 6: Final answer
    x = 6,225.96

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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.