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Finding the Fourth Proportional to 3,206.86, 4,784.15 and 3,125.46

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Solution

The fourth proportional to 3,206.86, 4,784.15 and 3,125.46 is: 4,662.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.86 : 4,784.15 = 3,125.46 : x
  2. Step 2: Convert to fraction form
    3,206.86/4,784.15 = 3,125.46/x
  3. Step 3: Cross multiply
    3,206.86x = 4,784.15 × 3,125.46
  4. Step 4: Simplify right side
    3,206.86x = 14,952,669.46
  5. Step 5: Solve for x
    x = 14,952,669.46/3,206.86
  6. Step 6: Final answer
    x = 4,662.71

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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.