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Finding the Fourth Proportional to 9,724.38, 13,437.81 and 7,955.34

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Solution

The fourth proportional to 9,724.38, 13,437.81 and 7,955.34 is: 10,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,724.38 : 13,437.81 = 7,955.34 : x
  2. Step 2: Convert to fraction form
    9,724.38/13,437.81 = 7,955.34/x
  3. Step 3: Cross multiply
    9,724.38x = 13,437.81 × 7,955.34
  4. Step 4: Simplify right side
    9,724.38x = 106,902,347.41
  5. Step 5: Solve for x
    x = 106,902,347.41/9,724.38
  6. Step 6: Final answer
    x = 10,993.23

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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.