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Finding the Fourth Proportional to 3,811.60, 5,714.70 and 1,470.70

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Solution

The fourth proportional to 3,811.60, 5,714.70 and 1,470.70 is: 2,205.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.60 : 5,714.70 = 1,470.70 : x
  2. Step 2: Convert to fraction form
    3,811.60/5,714.70 = 1,470.70/x
  3. Step 3: Cross multiply
    3,811.60x = 5,714.70 × 1,470.70
  4. Step 4: Simplify right side
    3,811.60x = 8,404,609.29
  5. Step 5: Solve for x
    x = 8,404,609.29/3,811.60
  6. Step 6: Final answer
    x = 2,205.01

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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.