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Finding the Fourth Proportional to 7,714.74, 11,569.71 and 2,783.74

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Solution

The fourth proportional to 7,714.74, 11,569.71 and 2,783.74 is: 4,174.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,714.74 : 11,569.71 = 2,783.74 : x
  2. Step 2: Convert to fraction form
    7,714.74/11,569.71 = 2,783.74/x
  3. Step 3: Cross multiply
    7,714.74x = 11,569.71 × 2,783.74
  4. Step 4: Simplify right side
    7,714.74x = 32,207,042.55
  5. Step 5: Solve for x
    x = 32,207,042.55/7,714.74
  6. Step 6: Final answer
    x = 4,174.74

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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.