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Finding the Fourth Proportional to 6,297.21, 8,687.97 and 3,643.65

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Solution

The fourth proportional to 6,297.21, 8,687.97 and 3,643.65 is: 5,026.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,297.21 : 8,687.97 = 3,643.65 : x
  2. Step 2: Convert to fraction form
    6,297.21/8,687.97 = 3,643.65/x
  3. Step 3: Cross multiply
    6,297.21x = 8,687.97 × 3,643.65
  4. Step 4: Simplify right side
    6,297.21x = 31,655,921.89
  5. Step 5: Solve for x
    x = 31,655,921.89/6,297.21
  6. Step 6: Final answer
    x = 5,026.98

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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.