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Finding the Fourth Proportional to 6,804.40, 10,209.84 and 3,883.72

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Solution

The fourth proportional to 6,804.40, 10,209.84 and 3,883.72 is: 5,827.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.40 : 10,209.84 = 3,883.72 : x
  2. Step 2: Convert to fraction form
    6,804.40/10,209.84 = 3,883.72/x
  3. Step 3: Cross multiply
    6,804.40x = 10,209.84 × 3,883.72
  4. Step 4: Simplify right side
    6,804.40x = 39,652,159.80
  5. Step 5: Solve for x
    x = 39,652,159.80/6,804.40
  6. Step 6: Final answer
    x = 5,827.43

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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.