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Finding the Fourth Proportional to 13,970.40, 20,977.20 and 8,138.40

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Solution

The fourth proportional to 13,970.40, 20,977.20 and 8,138.40 is: 12,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.40 : 20,977.20 = 8,138.40 : x
  2. Step 2: Convert to fraction form
    13,970.40/20,977.20 = 8,138.40/x
  3. Step 3: Cross multiply
    13,970.40x = 20,977.20 × 8,138.40
  4. Step 4: Simplify right side
    13,970.40x = 170,720,844.48
  5. Step 5: Solve for x
    x = 170,720,844.48/13,970.40
  6. Step 6: Final answer
    x = 12,220.18

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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.