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Finding the Fourth Proportional to 15,005.97, 22,513.82 and 7,213.77

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Solution

The fourth proportional to 15,005.97, 22,513.82 and 7,213.77 is: 10,822.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,005.97 : 22,513.82 = 7,213.77 : x
  2. Step 2: Convert to fraction form
    15,005.97/22,513.82 = 7,213.77/x
  3. Step 3: Cross multiply
    15,005.97x = 22,513.82 × 7,213.77
  4. Step 4: Simplify right side
    15,005.97x = 162,409,519.30
  5. Step 5: Solve for x
    x = 162,409,519.30/15,005.97
  6. Step 6: Final answer
    x = 10,822.99

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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.