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Finding the Fourth Proportional to 9,906.81, 13,659.44 and 8,559.98

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Solution

The fourth proportional to 9,906.81, 13,659.44 and 8,559.98 is: 11,802.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.81 : 13,659.44 = 8,559.98 : x
  2. Step 2: Convert to fraction form
    9,906.81/13,659.44 = 8,559.98/x
  3. Step 3: Cross multiply
    9,906.81x = 13,659.44 × 8,559.98
  4. Step 4: Simplify right side
    9,906.81x = 116,924,473.34
  5. Step 5: Solve for x
    x = 116,924,473.34/9,906.81
  6. Step 6: Final answer
    x = 11,802.44

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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.