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Finding the Fourth Proportional to 6,468.21, 8,923.05 and 3,813.84

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Solution

The fourth proportional to 6,468.21, 8,923.05 and 3,813.84 is: 5,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.21 : 8,923.05 = 3,813.84 : x
  2. Step 2: Convert to fraction form
    6,468.21/8,923.05 = 3,813.84/x
  3. Step 3: Cross multiply
    6,468.21x = 8,923.05 × 3,813.84
  4. Step 4: Simplify right side
    6,468.21x = 34,031,085.01
  5. Step 5: Solve for x
    x = 34,031,085.01/6,468.21
  6. Step 6: Final answer
    x = 5,261.28

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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.