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Finding the Fourth Proportional to 10,908, 16,436.25 and 9,714.47

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Solution

The fourth proportional to 10,908, 16,436.25 and 9,714.47 is: 14,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,908 : 16,436.25 = 9,714.47 : x
  2. Step 2: Convert to fraction form
    10,908/16,436.25 = 9,714.47/x
  3. Step 3: Cross multiply
    10,908x = 16,436.25 × 9,714.47
  4. Step 4: Simplify right side
    10,908x = 159,669,375.36
  5. Step 5: Solve for x
    x = 159,669,375.36/10,908
  6. Step 6: Final answer
    x = 14,637.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.