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Finding the Fourth Proportional to 9,677.88, 13,357.56 and 5,902.32

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Solution

The fourth proportional to 9,677.88, 13,357.56 and 5,902.32 is: 8,146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.88 : 13,357.56 = 5,902.32 : x
  2. Step 2: Convert to fraction form
    9,677.88/13,357.56 = 5,902.32/x
  3. Step 3: Cross multiply
    9,677.88x = 13,357.56 × 5,902.32
  4. Step 4: Simplify right side
    9,677.88x = 78,840,593.54
  5. Step 5: Solve for x
    x = 78,840,593.54/9,677.88
  6. Step 6: Final answer
    x = 8,146.47

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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.