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Finding the Fourth Proportional to 7,847.01, 11,824.50 and 6,490.87

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Solution

The fourth proportional to 7,847.01, 11,824.50 and 6,490.87 is: 9,780.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.01 : 11,824.50 = 6,490.87 : x
  2. Step 2: Convert to fraction form
    7,847.01/11,824.50 = 6,490.87/x
  3. Step 3: Cross multiply
    7,847.01x = 11,824.50 × 6,490.87
  4. Step 4: Simplify right side
    7,847.01x = 76,751,250.58
  5. Step 5: Solve for x
    x = 76,751,250.58/7,847.01
  6. Step 6: Final answer
    x = 9,780.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.