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Finding the Fourth Proportional to 7,772.52, 11,654.82 and 2,840.88

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Solution

The fourth proportional to 7,772.52, 11,654.82 and 2,840.88 is: 4,259.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.52 : 11,654.82 = 2,840.88 : x
  2. Step 2: Convert to fraction form
    7,772.52/11,654.82 = 2,840.88/x
  3. Step 3: Cross multiply
    7,772.52x = 11,654.82 × 2,840.88
  4. Step 4: Simplify right side
    7,772.52x = 33,109,945.04
  5. Step 5: Solve for x
    x = 33,109,945.04/7,772.52
  6. Step 6: Final answer
    x = 4,259.87

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1.5x scale

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.