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Finding the Fourth Proportional to 13,881.30, 20,823.30 and 5,114.16

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Solution

The fourth proportional to 13,881.30, 20,823.30 and 5,114.16 is: 7,671.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881.30 : 20,823.30 = 5,114.16 : x
  2. Step 2: Convert to fraction form
    13,881.30/20,823.30 = 5,114.16/x
  3. Step 3: Cross multiply
    13,881.30x = 20,823.30 × 5,114.16
  4. Step 4: Simplify right side
    13,881.30x = 106,493,687.93
  5. Step 5: Solve for x
    x = 106,493,687.93/13,881.30
  6. Step 6: Final answer
    x = 7,671.74

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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.