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Finding the Fourth Proportional to 6,479.90, 9,720 and 2,530.98

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Solution

The fourth proportional to 6,479.90, 9,720 and 2,530.98 is: 3,796.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.90 : 9,720 = 2,530.98 : x
  2. Step 2: Convert to fraction form
    6,479.90/9,720 = 2,530.98/x
  3. Step 3: Cross multiply
    6,479.90x = 9,720 × 2,530.98
  4. Step 4: Simplify right side
    6,479.90x = 24,601,125.60
  5. Step 5: Solve for x
    x = 24,601,125.60/6,479.90
  6. Step 6: Final answer
    x = 3,796.53

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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.