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Finding the Fourth Proportional to 7,714.57, 11,569.06 and 2,782.88

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Solution

The fourth proportional to 7,714.57, 11,569.06 and 2,782.88 is: 4,173.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.57 : 11,569.06 = 2,782.88 : x
  2. Step 2: Convert to fraction form
    7,714.57/11,569.06 = 2,782.88/x
  3. Step 3: Cross multiply
    7,714.57x = 11,569.06 × 2,782.88
  4. Step 4: Simplify right side
    7,714.57x = 32,195,291.78
  5. Step 5: Solve for x
    x = 32,195,291.78/7,714.57
  6. Step 6: Final answer
    x = 4,173.31

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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.