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Finding the Fourth Proportional to 13,212.29, 19,809.59 and 6,965.71

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Solution

The fourth proportional to 13,212.29, 19,809.59 and 6,965.71 is: 10,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,212.29 : 19,809.59 = 6,965.71 : x
  2. Step 2: Convert to fraction form
    13,212.29/19,809.59 = 6,965.71/x
  3. Step 3: Cross multiply
    13,212.29x = 19,809.59 × 6,965.71
  4. Step 4: Simplify right side
    13,212.29x = 137,987,859.16
  5. Step 5: Solve for x
    x = 137,987,859.16/13,212.29
  6. Step 6: Final answer
    x = 10,443.90

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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.