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Finding the Fourth Proportional to 13,878.63, 20,818.89 and 5,114.16

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Solution

The fourth proportional to 13,878.63, 20,818.89 and 5,114.16 is: 7,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.63 : 20,818.89 = 5,114.16 : x
  2. Step 2: Convert to fraction form
    13,878.63/20,818.89 = 5,114.16/x
  3. Step 3: Cross multiply
    13,878.63x = 20,818.89 × 5,114.16
  4. Step 4: Simplify right side
    13,878.63x = 106,471,134.48
  5. Step 5: Solve for x
    x = 106,471,134.48/13,878.63
  6. Step 6: Final answer
    x = 7,671.59

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1.5x scale

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.