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Finding the Fourth Proportional to 3,714.63, 5,570.54 and 1,215.24

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Solution

The fourth proportional to 3,714.63, 5,570.54 and 1,215.24 is: 1,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,714.63 : 5,570.54 = 1,215.24 : x
  2. Step 2: Convert to fraction form
    3,714.63/5,570.54 = 1,215.24/x
  3. Step 3: Cross multiply
    3,714.63x = 5,570.54 × 1,215.24
  4. Step 4: Simplify right side
    3,714.63x = 6,769,520.62
  5. Step 5: Solve for x
    x = 6,769,520.62/3,714.63
  6. Step 6: Final answer
    x = 1,822.40

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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.