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Finding the Fourth Proportional to 13,438, 20,154.84 and 9,530.56

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Solution

The fourth proportional to 13,438, 20,154.84 and 9,530.56 is: 14,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,438 : 20,154.84 = 9,530.56 : x
  2. Step 2: Convert to fraction form
    13,438/20,154.84 = 9,530.56/x
  3. Step 3: Cross multiply
    13,438x = 20,154.84 × 9,530.56
  4. Step 4: Simplify right side
    13,438x = 192,086,911.91
  5. Step 5: Solve for x
    x = 192,086,911.91/13,438
  6. Step 6: Final answer
    x = 14,294.31

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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.