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Finding the Fourth Proportional to 6,579.88, 9,853.80 and 3,462.50

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Solution

The fourth proportional to 6,579.88, 9,853.80 and 3,462.50 is: 5,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,579.88 : 9,853.80 = 3,462.50 : x
  2. Step 2: Convert to fraction form
    6,579.88/9,853.80 = 3,462.50/x
  3. Step 3: Cross multiply
    6,579.88x = 9,853.80 × 3,462.50
  4. Step 4: Simplify right side
    6,579.88x = 34,118,758.20
  5. Step 5: Solve for x
    x = 34,118,758.20/6,579.88
  6. Step 6: Final answer
    x = 5,185.31

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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.