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Finding the Fourth Proportional to 11,614, 16,026.72 and 6,308.64

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Solution

The fourth proportional to 11,614, 16,026.72 and 6,308.64 is: 8,705.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 16,026.72 = 6,308.64 : x
  2. Step 2: Convert to fraction form
    11,614/16,026.72 = 6,308.64/x
  3. Step 3: Cross multiply
    11,614x = 16,026.72 × 6,308.64
  4. Step 4: Simplify right side
    11,614x = 101,106,806.86
  5. Step 5: Solve for x
    x = 101,106,806.86/11,614
  6. Step 6: Final answer
    x = 8,705.60

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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.