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Finding the Fourth Proportional to 3,143.09, 4,714.64 and 1,410.50

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Solution

The fourth proportional to 3,143.09, 4,714.64 and 1,410.50 is: 2,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.09 : 4,714.64 = 1,410.50 : x
  2. Step 2: Convert to fraction form
    3,143.09/4,714.64 = 1,410.50/x
  3. Step 3: Cross multiply
    3,143.09x = 4,714.64 × 1,410.50
  4. Step 4: Simplify right side
    3,143.09x = 6,649,999.72
  5. Step 5: Solve for x
    x = 6,649,999.72/3,143.09
  6. Step 6: Final answer
    x = 2,115.75

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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.