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Finding the Fourth Proportional to 9,678.56, 13,364 and 7,436.96

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Solution

The fourth proportional to 9,678.56, 13,364 and 7,436.96 is: 10,268.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.56 : 13,364 = 7,436.96 : x
  2. Step 2: Convert to fraction form
    9,678.56/13,364 = 7,436.96/x
  3. Step 3: Cross multiply
    9,678.56x = 13,364 × 7,436.96
  4. Step 4: Simplify right side
    9,678.56x = 99,387,533.44
  5. Step 5: Solve for x
    x = 99,387,533.44/9,678.56
  6. Step 6: Final answer
    x = 10,268.83

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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.