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Finding the Fourth Proportional to 7,818.06, 11,743.42 and 6,647.88

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Solution

The fourth proportional to 7,818.06, 11,743.42 and 6,647.88 is: 9,985.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,818.06 : 11,743.42 = 6,647.88 : x
  2. Step 2: Convert to fraction form
    7,818.06/11,743.42 = 6,647.88/x
  3. Step 3: Cross multiply
    7,818.06x = 11,743.42 × 6,647.88
  4. Step 4: Simplify right side
    7,818.06x = 78,068,846.95
  5. Step 5: Solve for x
    x = 78,068,846.95/7,818.06
  6. Step 6: Final answer
    x = 9,985.71

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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.