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Finding the Fourth Proportional to 9,305.31, 13,953.06 and 5,355.75

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Solution

The fourth proportional to 9,305.31, 13,953.06 and 5,355.75 is: 8,030.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.31 : 13,953.06 = 5,355.75 : x
  2. Step 2: Convert to fraction form
    9,305.31/13,953.06 = 5,355.75/x
  3. Step 3: Cross multiply
    9,305.31x = 13,953.06 × 5,355.75
  4. Step 4: Simplify right side
    9,305.31x = 74,729,101.10
  5. Step 5: Solve for x
    x = 74,729,101.10/9,305.31
  6. Step 6: Final answer
    x = 8,030.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.