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Finding the Fourth Proportional to 13,778.34, 20,675.04 and 7,210.32

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Solution

The fourth proportional to 13,778.34, 20,675.04 and 7,210.32 is: 10,819.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.34 : 20,675.04 = 7,210.32 : x
  2. Step 2: Convert to fraction form
    13,778.34/20,675.04 = 7,210.32/x
  3. Step 3: Cross multiply
    13,778.34x = 20,675.04 × 7,210.32
  4. Step 4: Simplify right side
    13,778.34x = 149,073,654.41
  5. Step 5: Solve for x
    x = 149,073,654.41/13,778.34
  6. Step 6: Final answer
    x = 10,819.42

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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.