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Finding the Fourth Proportional to 15,757.96, 21,745.20 and 10,168.96

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Solution

The fourth proportional to 15,757.96, 21,745.20 and 10,168.96 is: 14,032.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,757.96 : 21,745.20 = 10,168.96 : x
  2. Step 2: Convert to fraction form
    15,757.96/21,745.20 = 10,168.96/x
  3. Step 3: Cross multiply
    15,757.96x = 21,745.20 × 10,168.96
  4. Step 4: Simplify right side
    15,757.96x = 221,126,068.99
  5. Step 5: Solve for x
    x = 221,126,068.99/15,757.96
  6. Step 6: Final answer
    x = 14,032.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.