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Finding the Fourth Proportional to 6,730.13, 10,087.94 and 6,419.61

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Solution

The fourth proportional to 6,730.13, 10,087.94 and 6,419.61 is: 9,622.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.13 : 10,087.94 = 6,419.61 : x
  2. Step 2: Convert to fraction form
    6,730.13/10,087.94 = 6,419.61/x
  3. Step 3: Cross multiply
    6,730.13x = 10,087.94 × 6,419.61
  4. Step 4: Simplify right side
    6,730.13x = 64,760,656.55
  5. Step 5: Solve for x
    x = 64,760,656.55/6,730.13
  6. Step 6: Final answer
    x = 9,622.49

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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.