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Finding the Fourth Proportional to 12,434.65, 18,647.98 and 4,113.11

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Solution

The fourth proportional to 12,434.65, 18,647.98 and 4,113.11 is: 6,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.65 : 18,647.98 = 4,113.11 : x
  2. Step 2: Convert to fraction form
    12,434.65/18,647.98 = 4,113.11/x
  3. Step 3: Cross multiply
    12,434.65x = 18,647.98 × 4,113.11
  4. Step 4: Simplify right side
    12,434.65x = 76,701,229.35
  5. Step 5: Solve for x
    x = 76,701,229.35/12,434.65
  6. Step 6: Final answer
    x = 6,168.35

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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.