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Finding the Fourth Proportional to 6,172.30, 8,521.90 and 3,655.22

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Solution

The fourth proportional to 6,172.30, 8,521.90 and 3,655.22 is: 5,046.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.30 : 8,521.90 = 3,655.22 : x
  2. Step 2: Convert to fraction form
    6,172.30/8,521.90 = 3,655.22/x
  3. Step 3: Cross multiply
    6,172.30x = 8,521.90 × 3,655.22
  4. Step 4: Simplify right side
    6,172.30x = 31,149,419.32
  5. Step 5: Solve for x
    x = 31,149,419.32/6,172.30
  6. Step 6: Final answer
    x = 5,046.65

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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.