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Finding the Fourth Proportional to 12,415.66, 17,137.30 and 7,114

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Solution

The fourth proportional to 12,415.66, 17,137.30 and 7,114 is: 9,819.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.66 : 17,137.30 = 7,114 : x
  2. Step 2: Convert to fraction form
    12,415.66/17,137.30 = 7,114/x
  3. Step 3: Cross multiply
    12,415.66x = 17,137.30 × 7,114
  4. Step 4: Simplify right side
    12,415.66x = 121,914,752.20
  5. Step 5: Solve for x
    x = 121,914,752.20/12,415.66
  6. Step 6: Final answer
    x = 9,819.43

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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.