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Finding the Fourth Proportional to 6,455.80, 9,681.24 and 2,759.74

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Solution

The fourth proportional to 6,455.80, 9,681.24 and 2,759.74 is: 4,138.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.80 : 9,681.24 = 2,759.74 : x
  2. Step 2: Convert to fraction form
    6,455.80/9,681.24 = 2,759.74/x
  3. Step 3: Cross multiply
    6,455.80x = 9,681.24 × 2,759.74
  4. Step 4: Simplify right side
    6,455.80x = 26,717,705.28
  5. Step 5: Solve for x
    x = 26,717,705.28/6,455.80
  6. Step 6: Final answer
    x = 4,138.56

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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.