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Finding the Fourth Proportional to 13,870.12, 20,787.04 and 12,110.68

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Solution

The fourth proportional to 13,870.12, 20,787.04 and 12,110.68 is: 18,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,870.12 : 20,787.04 = 12,110.68 : x
  2. Step 2: Convert to fraction form
    13,870.12/20,787.04 = 12,110.68/x
  3. Step 3: Cross multiply
    13,870.12x = 20,787.04 × 12,110.68
  4. Step 4: Simplify right side
    13,870.12x = 251,745,189.59
  5. Step 5: Solve for x
    x = 251,745,189.59/13,870.12
  6. Step 6: Final answer
    x = 18,150.18

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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.