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Finding the Fourth Proportional to 6,785.78, 9,365.22 and 6,490.53

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Solution

The fourth proportional to 6,785.78, 9,365.22 and 6,490.53 is: 8,957.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.78 : 9,365.22 = 6,490.53 : x
  2. Step 2: Convert to fraction form
    6,785.78/9,365.22 = 6,490.53/x
  3. Step 3: Cross multiply
    6,785.78x = 9,365.22 × 6,490.53
  4. Step 4: Simplify right side
    6,785.78x = 60,785,241.37
  5. Step 5: Solve for x
    x = 60,785,241.37/6,785.78
  6. Step 6: Final answer
    x = 8,957.74

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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.