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Finding the Fourth Proportional to 3,714.78, 5,572.56 and 1,406.28

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Solution

The fourth proportional to 3,714.78, 5,572.56 and 1,406.28 is: 2,109.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.78 : 5,572.56 = 1,406.28 : x
  2. Step 2: Convert to fraction form
    3,714.78/5,572.56 = 1,406.28/x
  3. Step 3: Cross multiply
    3,714.78x = 5,572.56 × 1,406.28
  4. Step 4: Simplify right side
    3,714.78x = 7,836,579.68
  5. Step 5: Solve for x
    x = 7,836,579.68/3,714.78
  6. Step 6: Final answer
    x = 2,109.57

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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.