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Finding the Fourth Proportional to 10,644.64, 14,690.40 and 6,169.60

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Solution

The fourth proportional to 10,644.64, 14,690.40 and 6,169.60 is: 8,514.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.64 : 14,690.40 = 6,169.60 : x
  2. Step 2: Convert to fraction form
    10,644.64/14,690.40 = 6,169.60/x
  3. Step 3: Cross multiply
    10,644.64x = 14,690.40 × 6,169.60
  4. Step 4: Simplify right side
    10,644.64x = 90,633,891.84
  5. Step 5: Solve for x
    x = 90,633,891.84/10,644.64
  6. Step 6: Final answer
    x = 8,514.51

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