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Finding the Fourth Proportional to 7,714.49, 11,569.34 and 2,783.49

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Solution

The fourth proportional to 7,714.49, 11,569.34 and 2,783.49 is: 4,174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.49 : 11,569.34 = 2,783.49 : x
  2. Step 2: Convert to fraction form
    7,714.49/11,569.34 = 2,783.49/x
  3. Step 3: Cross multiply
    7,714.49x = 11,569.34 × 2,783.49
  4. Step 4: Simplify right side
    7,714.49x = 32,203,106.31
  5. Step 5: Solve for x
    x = 32,203,106.31/7,714.49
  6. Step 6: Final answer
    x = 4,174.37

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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.