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Finding the Fourth Proportional to 9,889.72, 13,659.12 and 6,740.44

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Solution

The fourth proportional to 9,889.72, 13,659.12 and 6,740.44 is: 9,309.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.72 : 13,659.12 = 6,740.44 : x
  2. Step 2: Convert to fraction form
    9,889.72/13,659.12 = 6,740.44/x
  3. Step 3: Cross multiply
    9,889.72x = 13,659.12 × 6,740.44
  4. Step 4: Simplify right side
    9,889.72x = 92,068,478.81
  5. Step 5: Solve for x
    x = 92,068,478.81/9,889.72
  6. Step 6: Final answer
    x = 9,309.51

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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.