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Finding the Fourth Proportional to 9,705.82, 13,393.74 and 5,456.92

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Solution

The fourth proportional to 9,705.82, 13,393.74 and 5,456.92 is: 7,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.82 : 13,393.74 = 5,456.92 : x
  2. Step 2: Convert to fraction form
    9,705.82/13,393.74 = 5,456.92/x
  3. Step 3: Cross multiply
    9,705.82x = 13,393.74 × 5,456.92
  4. Step 4: Simplify right side
    9,705.82x = 73,088,567.68
  5. Step 5: Solve for x
    x = 73,088,567.68/9,705.82
  6. Step 6: Final answer
    x = 7,530.39

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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.