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Finding the Fourth Proportional to 15,165.36, 22,757.22 and 5,311.98

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Solution

The fourth proportional to 15,165.36, 22,757.22 and 5,311.98 is: 7,971.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.36 : 22,757.22 = 5,311.98 : x
  2. Step 2: Convert to fraction form
    15,165.36/22,757.22 = 5,311.98/x
  3. Step 3: Cross multiply
    15,165.36x = 22,757.22 × 5,311.98
  4. Step 4: Simplify right side
    15,165.36x = 120,885,897.50
  5. Step 5: Solve for x
    x = 120,885,897.50/15,165.36
  6. Step 6: Final answer
    x = 7,971.19

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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.