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Finding the Fourth Proportional to 13,920.12, 20,866.86 and 5,152.68

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Solution

The fourth proportional to 13,920.12, 20,866.86 and 5,152.68 is: 7,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,920.12 : 20,866.86 = 5,152.68 : x
  2. Step 2: Convert to fraction form
    13,920.12/20,866.86 = 5,152.68/x
  3. Step 3: Cross multiply
    13,920.12x = 20,866.86 × 5,152.68
  4. Step 4: Simplify right side
    13,920.12x = 107,520,252.18
  5. Step 5: Solve for x
    x = 107,520,252.18/13,920.12
  6. Step 6: Final answer
    x = 7,724.09

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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.