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Finding the Fourth Proportional to 3,188.86, 4,785.47 and 1,108.86

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Solution

The fourth proportional to 3,188.86, 4,785.47 and 1,108.86 is: 1,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.86 : 4,785.47 = 1,108.86 : x
  2. Step 2: Convert to fraction form
    3,188.86/4,785.47 = 1,108.86/x
  3. Step 3: Cross multiply
    3,188.86x = 4,785.47 × 1,108.86
  4. Step 4: Simplify right side
    3,188.86x = 5,306,425.41
  5. Step 5: Solve for x
    x = 5,306,425.41/3,188.86
  6. Step 6: Final answer
    x = 1,664.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.