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Finding the Fourth Proportional to 9,009.52, 13,515 and 2,768.96

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Solution

The fourth proportional to 9,009.52, 13,515 and 2,768.96 is: 4,153.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.52 : 13,515 = 2,768.96 : x
  2. Step 2: Convert to fraction form
    9,009.52/13,515 = 2,768.96/x
  3. Step 3: Cross multiply
    9,009.52x = 13,515 × 2,768.96
  4. Step 4: Simplify right side
    9,009.52x = 37,422,494.40
  5. Step 5: Solve for x
    x = 37,422,494.40/9,009.52
  6. Step 6: Final answer
    x = 4,153.66

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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.