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Finding the Fourth Proportional to 13,854.78, 20,774.87 and 9,473.49

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Solution

The fourth proportional to 13,854.78, 20,774.87 and 9,473.49 is: 14,205.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,854.78 : 20,774.87 = 9,473.49 : x
  2. Step 2: Convert to fraction form
    13,854.78/20,774.87 = 9,473.49/x
  3. Step 3: Cross multiply
    13,854.78x = 20,774.87 × 9,473.49
  4. Step 4: Simplify right side
    13,854.78x = 196,810,475.83
  5. Step 5: Solve for x
    x = 196,810,475.83/13,854.78
  6. Step 6: Final answer
    x = 14,205.24

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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.