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Finding the Fourth Proportional to 9,221.04, 13,829.13 and 2,645.69

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Solution

The fourth proportional to 9,221.04, 13,829.13 and 2,645.69 is: 3,967.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.04 : 13,829.13 = 2,645.69 : x
  2. Step 2: Convert to fraction form
    9,221.04/13,829.13 = 2,645.69/x
  3. Step 3: Cross multiply
    9,221.04x = 13,829.13 × 2,645.69
  4. Step 4: Simplify right side
    9,221.04x = 36,587,521.80
  5. Step 5: Solve for x
    x = 36,587,521.80/9,221.04
  6. Step 6: Final answer
    x = 3,967.83

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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.