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Finding the Fourth Proportional to 9,421.20, 14,110.20 and 9,205.20

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Solution

The fourth proportional to 9,421.20, 14,110.20 and 9,205.20 is: 13,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,421.20 : 14,110.20 = 9,205.20 : x
  2. Step 2: Convert to fraction form
    9,421.20/14,110.20 = 9,205.20/x
  3. Step 3: Cross multiply
    9,421.20x = 14,110.20 × 9,205.20
  4. Step 4: Simplify right side
    9,421.20x = 129,887,213.04
  5. Step 5: Solve for x
    x = 129,887,213.04/9,421.20
  6. Step 6: Final answer
    x = 13,786.70

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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.