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Finding the Fourth Proportional to 21,209.96, 31,809.68 and 7,169.68

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Solution

The fourth proportional to 21,209.96, 31,809.68 and 7,169.68 is: 10,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,209.96 : 31,809.68 = 7,169.68 : x
  2. Step 2: Convert to fraction form
    21,209.96/31,809.68 = 7,169.68/x
  3. Step 3: Cross multiply
    21,209.96x = 31,809.68 × 7,169.68
  4. Step 4: Simplify right side
    21,209.96x = 228,065,257.30
  5. Step 5: Solve for x
    x = 228,065,257.30/21,209.96
  6. Step 6: Final answer
    x = 10,752.74

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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.