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Finding the Fourth Proportional to 11,612.24, 16,031.53 and 7,644.88

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Solution

The fourth proportional to 11,612.24, 16,031.53 and 7,644.88 is: 10,554.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,612.24 : 16,031.53 = 7,644.88 : x
  2. Step 2: Convert to fraction form
    11,612.24/16,031.53 = 7,644.88/x
  3. Step 3: Cross multiply
    11,612.24x = 16,031.53 × 7,644.88
  4. Step 4: Simplify right side
    11,612.24x = 122,559,152.66
  5. Step 5: Solve for x
    x = 122,559,152.66/11,612.24
  6. Step 6: Final answer
    x = 10,554.31

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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.