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Finding the Fourth Proportional to 7,714.78, 11,572.13 and 1,871.44

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Solution

The fourth proportional to 7,714.78, 11,572.13 and 1,871.44 is: 2,807.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.78 : 11,572.13 = 1,871.44 : x
  2. Step 2: Convert to fraction form
    7,714.78/11,572.13 = 1,871.44/x
  3. Step 3: Cross multiply
    7,714.78x = 11,572.13 × 1,871.44
  4. Step 4: Simplify right side
    7,714.78x = 21,656,522.72
  5. Step 5: Solve for x
    x = 21,656,522.72/7,714.78
  6. Step 6: Final answer
    x = 2,807.15

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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.