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Finding the Fourth Proportional to 15,443, 21,311.74 and 9,391.22

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Solution

The fourth proportional to 15,443, 21,311.74 and 9,391.22 is: 12,960.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,443 : 21,311.74 = 9,391.22 : x
  2. Step 2: Convert to fraction form
    15,443/21,311.74 = 9,391.22/x
  3. Step 3: Cross multiply
    15,443x = 21,311.74 × 9,391.22
  4. Step 4: Simplify right side
    15,443x = 200,143,238.92
  5. Step 5: Solve for x
    x = 200,143,238.92/15,443
  6. Step 6: Final answer
    x = 12,960.13

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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.