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Finding the Fourth Proportional to 13,842.39, 20,729.43 and 7,904.55

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Solution

The fourth proportional to 13,842.39, 20,729.43 and 7,904.55 is: 11,837.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.39 : 20,729.43 = 7,904.55 : x
  2. Step 2: Convert to fraction form
    13,842.39/20,729.43 = 7,904.55/x
  3. Step 3: Cross multiply
    13,842.39x = 20,729.43 × 7,904.55
  4. Step 4: Simplify right side
    13,842.39x = 163,856,815.91
  5. Step 5: Solve for x
    x = 163,856,815.91/13,842.39
  6. Step 6: Final answer
    x = 11,837.32

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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.