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Finding the Fourth Proportional to 6,472.92, 8,927.49 and 4,201.77

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Solution

The fourth proportional to 6,472.92, 8,927.49 and 4,201.77 is: 5,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.92 : 8,927.49 = 4,201.77 : x
  2. Step 2: Convert to fraction form
    6,472.92/8,927.49 = 4,201.77/x
  3. Step 3: Cross multiply
    6,472.92x = 8,927.49 × 4,201.77
  4. Step 4: Simplify right side
    6,472.92x = 37,511,259.66
  5. Step 5: Solve for x
    x = 37,511,259.66/6,472.92
  6. Step 6: Final answer
    x = 5,795.11

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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.