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Finding the Fourth Proportional to 13,982.10, 20,987.02 and 12,411.06

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Solution

The fourth proportional to 13,982.10, 20,987.02 and 12,411.06 is: 18,628.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,982.10 : 20,987.02 = 12,411.06 : x
  2. Step 2: Convert to fraction form
    13,982.10/20,987.02 = 12,411.06/x
  3. Step 3: Cross multiply
    13,982.10x = 20,987.02 × 12,411.06
  4. Step 4: Simplify right side
    13,982.10x = 260,471,164.44
  5. Step 5: Solve for x
    x = 260,471,164.44/13,982.10
  6. Step 6: Final answer
    x = 18,628.90

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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.