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Finding the Fourth Proportional to 6,405.64, 9,614.22 and 3,486.04

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Solution

The fourth proportional to 6,405.64, 9,614.22 and 3,486.04 is: 5,232.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.64 : 9,614.22 = 3,486.04 : x
  2. Step 2: Convert to fraction form
    6,405.64/9,614.22 = 3,486.04/x
  3. Step 3: Cross multiply
    6,405.64x = 9,614.22 × 3,486.04
  4. Step 4: Simplify right side
    6,405.64x = 33,515,555.49
  5. Step 5: Solve for x
    x = 33,515,555.49/6,405.64
  6. Step 6: Final answer
    x = 5,232.19

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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.