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Finding the Fourth Proportional to 11,712.90, 16,164.14 and 6,407.99

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Solution

The fourth proportional to 11,712.90, 16,164.14 and 6,407.99 is: 8,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,712.90 : 16,164.14 = 6,407.99 : x
  2. Step 2: Convert to fraction form
    11,712.90/16,164.14 = 6,407.99/x
  3. Step 3: Cross multiply
    11,712.90x = 16,164.14 × 6,407.99
  4. Step 4: Simplify right side
    11,712.90x = 103,579,534.62
  5. Step 5: Solve for x
    x = 103,579,534.62/11,712.90
  6. Step 6: Final answer
    x = 8,843.20

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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.