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Finding the Fourth Proportional to 3,470.92, 4,785.54 and 2,289.88

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Solution

The fourth proportional to 3,470.92, 4,785.54 and 2,289.88 is: 3,157.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.92 : 4,785.54 = 2,289.88 : x
  2. Step 2: Convert to fraction form
    3,470.92/4,785.54 = 2,289.88/x
  3. Step 3: Cross multiply
    3,470.92x = 4,785.54 × 2,289.88
  4. Step 4: Simplify right side
    3,470.92x = 10,958,312.34
  5. Step 5: Solve for x
    x = 10,958,312.34/3,470.92
  6. Step 6: Final answer
    x = 3,157.18

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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.