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Finding the Fourth Proportional to 9,490.08, 13,092.84 and 5,952

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Solution

The fourth proportional to 9,490.08, 13,092.84 and 5,952 is: 8,211.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.08 : 13,092.84 = 5,952 : x
  2. Step 2: Convert to fraction form
    9,490.08/13,092.84 = 5,952/x
  3. Step 3: Cross multiply
    9,490.08x = 13,092.84 × 5,952
  4. Step 4: Simplify right side
    9,490.08x = 77,928,583.68
  5. Step 5: Solve for x
    x = 77,928,583.68/9,490.08
  6. Step 6: Final answer
    x = 8,211.58

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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.