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Finding the Fourth Proportional to 13,883.18, 20,834.06 and 5,118.08

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Solution

The fourth proportional to 13,883.18, 20,834.06 and 5,118.08 is: 7,680.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.18 : 20,834.06 = 5,118.08 : x
  2. Step 2: Convert to fraction form
    13,883.18/20,834.06 = 5,118.08/x
  3. Step 3: Cross multiply
    13,883.18x = 20,834.06 × 5,118.08
  4. Step 4: Simplify right side
    13,883.18x = 106,630,256.04
  5. Step 5: Solve for x
    x = 106,630,256.04/13,883.18
  6. Step 6: Final answer
    x = 7,680.54

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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.