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Finding the Fourth Proportional to 13,902.96, 20,847.60 and 7,978.92

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Solution

The fourth proportional to 13,902.96, 20,847.60 and 7,978.92 is: 11,964.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,902.96 : 20,847.60 = 7,978.92 : x
  2. Step 2: Convert to fraction form
    13,902.96/20,847.60 = 7,978.92/x
  3. Step 3: Cross multiply
    13,902.96x = 20,847.60 × 7,978.92
  4. Step 4: Simplify right side
    13,902.96x = 166,341,332.59
  5. Step 5: Solve for x
    x = 166,341,332.59/13,902.96
  6. Step 6: Final answer
    x = 11,964.45

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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.