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Finding the Fourth Proportional to 9,507.96, 13,120.75 and 5,259.26

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Solution

The fourth proportional to 9,507.96, 13,120.75 and 5,259.26 is: 7,257.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,507.96 : 13,120.75 = 5,259.26 : x
  2. Step 2: Convert to fraction form
    9,507.96/13,120.75 = 5,259.26/x
  3. Step 3: Cross multiply
    9,507.96x = 13,120.75 × 5,259.26
  4. Step 4: Simplify right side
    9,507.96x = 69,005,435.65
  5. Step 5: Solve for x
    x = 69,005,435.65/9,507.96
  6. Step 6: Final answer
    x = 7,257.65

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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.