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Finding the Fourth Proportional to 10,664.60, 14,714.88 and 6,187.78

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Solution

The fourth proportional to 10,664.60, 14,714.88 and 6,187.78 is: 8,537.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,664.60 : 14,714.88 = 6,187.78 : x
  2. Step 2: Convert to fraction form
    10,664.60/14,714.88 = 6,187.78/x
  3. Step 3: Cross multiply
    10,664.60x = 14,714.88 × 6,187.78
  4. Step 4: Simplify right side
    10,664.60x = 91,052,387.39
  5. Step 5: Solve for x
    x = 91,052,387.39/10,664.60
  6. Step 6: Final answer
    x = 8,537.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.