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Finding the Fourth Proportional to 9,655.92, 13,326.48 and 5,679.36

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Solution

The fourth proportional to 9,655.92, 13,326.48 and 5,679.36 is: 7,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,655.92 : 13,326.48 = 5,679.36 : x
  2. Step 2: Convert to fraction form
    9,655.92/13,326.48 = 5,679.36/x
  3. Step 3: Cross multiply
    9,655.92x = 13,326.48 × 5,679.36
  4. Step 4: Simplify right side
    9,655.92x = 75,685,877.45
  5. Step 5: Solve for x
    x = 75,685,877.45/9,655.92
  6. Step 6: Final answer
    x = 7,838.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.