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Finding the Fourth Proportional to 7,509, 11,268.62 and 2,645

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Solution

The fourth proportional to 7,509, 11,268.62 and 2,645 is: 3,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,509 : 11,268.62 = 2,645 : x
  2. Step 2: Convert to fraction form
    7,509/11,268.62 = 2,645/x
  3. Step 3: Cross multiply
    7,509x = 11,268.62 × 2,645
  4. Step 4: Simplify right side
    7,509x = 29,805,499.90
  5. Step 5: Solve for x
    x = 29,805,499.90/7,509
  6. Step 6: Final answer
    x = 3,969.30

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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.