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Finding the Fourth Proportional to 13,575.71, 20,346.56 and 7,338.71

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Solution

The fourth proportional to 13,575.71, 20,346.56 and 7,338.71 is: 10,998.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,575.71 : 20,346.56 = 7,338.71 : x
  2. Step 2: Convert to fraction form
    13,575.71/20,346.56 = 7,338.71/x
  3. Step 3: Cross multiply
    13,575.71x = 20,346.56 × 7,338.71
  4. Step 4: Simplify right side
    13,575.71x = 149,317,466.64
  5. Step 5: Solve for x
    x = 149,317,466.64/13,575.71
  6. Step 6: Final answer
    x = 10,998.87

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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.