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Finding the Fourth Proportional to 7,847.61, 11,767.15 and 2,649.84

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Solution

The fourth proportional to 7,847.61, 11,767.15 and 2,649.84 is: 3,973.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.61 : 11,767.15 = 2,649.84 : x
  2. Step 2: Convert to fraction form
    7,847.61/11,767.15 = 2,649.84/x
  3. Step 3: Cross multiply
    7,847.61x = 11,767.15 × 2,649.84
  4. Step 4: Simplify right side
    7,847.61x = 31,181,064.76
  5. Step 5: Solve for x
    x = 31,181,064.76/7,847.61
  6. Step 6: Final answer
    x = 3,973.32

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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.