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Finding the Fourth Proportional to 9,659.50, 13,330.11 and 5,243.50

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Solution

The fourth proportional to 9,659.50, 13,330.11 and 5,243.50 is: 7,236.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.50 : 13,330.11 = 5,243.50 : x
  2. Step 2: Convert to fraction form
    9,659.50/13,330.11 = 5,243.50/x
  3. Step 3: Cross multiply
    9,659.50x = 13,330.11 × 5,243.50
  4. Step 4: Simplify right side
    9,659.50x = 69,896,431.79
  5. Step 5: Solve for x
    x = 69,896,431.79/9,659.50
  6. Step 6: Final answer
    x = 7,236.03

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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.