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Finding the Fourth Proportional to 6,730.47, 9,249.09 and 6,421.77

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Solution

The fourth proportional to 6,730.47, 9,249.09 and 6,421.77 is: 8,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.47 : 9,249.09 = 6,421.77 : x
  2. Step 2: Convert to fraction form
    6,730.47/9,249.09 = 6,421.77/x
  3. Step 3: Cross multiply
    6,730.47x = 9,249.09 × 6,421.77
  4. Step 4: Simplify right side
    6,730.47x = 59,395,528.69
  5. Step 5: Solve for x
    x = 59,395,528.69/6,730.47
  6. Step 6: Final answer
    x = 8,824.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.