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Finding the Fourth Proportional to 9,945.21, 14,909.70 and 5,502.70

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Solution

The fourth proportional to 9,945.21, 14,909.70 and 5,502.70 is: 8,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.21 : 14,909.70 = 5,502.70 : x
  2. Step 2: Convert to fraction form
    9,945.21/14,909.70 = 5,502.70/x
  3. Step 3: Cross multiply
    9,945.21x = 14,909.70 × 5,502.70
  4. Step 4: Simplify right side
    9,945.21x = 82,043,645.46
  5. Step 5: Solve for x
    x = 82,043,645.46/9,945.21
  6. Step 6: Final answer
    x = 8,249.56

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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.