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Finding the Fourth Proportional to 13,385.80, 20,078.70 and 12,176.20

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Solution

The fourth proportional to 13,385.80, 20,078.70 and 12,176.20 is: 18,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.80 : 20,078.70 = 12,176.20 : x
  2. Step 2: Convert to fraction form
    13,385.80/20,078.70 = 12,176.20/x
  3. Step 3: Cross multiply
    13,385.80x = 20,078.70 × 12,176.20
  4. Step 4: Simplify right side
    13,385.80x = 244,482,266.94
  5. Step 5: Solve for x
    x = 244,482,266.94/13,385.80
  6. Step 6: Final answer
    x = 18,264.30

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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.