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Finding the Fourth Proportional to 6,486.60, 9,711 and 4,850.40

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Solution

The fourth proportional to 6,486.60, 9,711 and 4,850.40 is: 7,261.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.60 : 9,711 = 4,850.40 : x
  2. Step 2: Convert to fraction form
    6,486.60/9,711 = 4,850.40/x
  3. Step 3: Cross multiply
    6,486.60x = 9,711 × 4,850.40
  4. Step 4: Simplify right side
    6,486.60x = 47,102,234.40
  5. Step 5: Solve for x
    x = 47,102,234.40/6,486.60
  6. Step 6: Final answer
    x = 7,261.47

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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.