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Finding the Fourth Proportional to 21,305.84, 31,965.24 and 9,615.92

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Solution

The fourth proportional to 21,305.84, 31,965.24 and 9,615.92 is: 14,426.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,305.84 : 31,965.24 = 9,615.92 : x
  2. Step 2: Convert to fraction form
    21,305.84/31,965.24 = 9,615.92/x
  3. Step 3: Cross multiply
    21,305.84x = 31,965.24 × 9,615.92
  4. Step 4: Simplify right side
    21,305.84x = 307,375,190.62
  5. Step 5: Solve for x
    x = 307,375,190.62/21,305.84
  6. Step 6: Final answer
    x = 14,426.80

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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.