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Finding the Fourth Proportional to 6,919.63, 9,549.05 and 3,775.82

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Solution

The fourth proportional to 6,919.63, 9,549.05 and 3,775.82 is: 5,210.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,919.63 : 9,549.05 = 3,775.82 : x
  2. Step 2: Convert to fraction form
    6,919.63/9,549.05 = 3,775.82/x
  3. Step 3: Cross multiply
    6,919.63x = 9,549.05 × 3,775.82
  4. Step 4: Simplify right side
    6,919.63x = 36,055,446.23
  5. Step 5: Solve for x
    x = 36,055,446.23/6,919.63
  6. Step 6: Final answer
    x = 5,210.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.