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Finding the Fourth Proportional to 7,138.82, 10,659.63 and 6,298.88

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Solution

The fourth proportional to 7,138.82, 10,659.63 and 6,298.88 is: 9,405.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.82 : 10,659.63 = 6,298.88 : x
  2. Step 2: Convert to fraction form
    7,138.82/10,659.63 = 6,298.88/x
  3. Step 3: Cross multiply
    7,138.82x = 10,659.63 × 6,298.88
  4. Step 4: Simplify right side
    7,138.82x = 67,143,700.54
  5. Step 5: Solve for x
    x = 67,143,700.54/7,138.82
  6. Step 6: Final answer
    x = 9,405.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.