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Finding the Fourth Proportional to 7,874.94, 11,820.08 and 6,138.82

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Solution

The fourth proportional to 7,874.94, 11,820.08 and 6,138.82 is: 9,214.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.94 : 11,820.08 = 6,138.82 : x
  2. Step 2: Convert to fraction form
    7,874.94/11,820.08 = 6,138.82/x
  3. Step 3: Cross multiply
    7,874.94x = 11,820.08 × 6,138.82
  4. Step 4: Simplify right side
    7,874.94x = 72,561,343.51
  5. Step 5: Solve for x
    x = 72,561,343.51/7,874.94
  6. Step 6: Final answer
    x = 9,214.21

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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.