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Finding the Fourth Proportional to 13,722.72, 18,937.72 and 8,343.30

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Solution

The fourth proportional to 13,722.72, 18,937.72 and 8,343.30 is: 11,513.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,722.72 : 18,937.72 = 8,343.30 : x
  2. Step 2: Convert to fraction form
    13,722.72/18,937.72 = 8,343.30/x
  3. Step 3: Cross multiply
    13,722.72x = 18,937.72 × 8,343.30
  4. Step 4: Simplify right side
    13,722.72x = 158,003,113.79
  5. Step 5: Solve for x
    x = 158,003,113.79/13,722.72
  6. Step 6: Final answer
    x = 11,513.98

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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.