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Finding the Fourth Proportional to 12,417, 18,620.91 and 4,094.61

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Solution

The fourth proportional to 12,417, 18,620.91 and 4,094.61 is: 6,140.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,417 : 18,620.91 = 4,094.61 : x
  2. Step 2: Convert to fraction form
    12,417/18,620.91 = 4,094.61/x
  3. Step 3: Cross multiply
    12,417x = 18,620.91 × 4,094.61
  4. Step 4: Simplify right side
    12,417x = 76,245,364.30
  5. Step 5: Solve for x
    x = 76,245,364.30/12,417
  6. Step 6: Final answer
    x = 6,140.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.