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Finding the Fourth Proportional to 13,385.20, 20,077.80 and 12,874.90

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Solution

The fourth proportional to 13,385.20, 20,077.80 and 12,874.90 is: 19,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,385.20 : 20,077.80 = 12,874.90 : x
  2. Step 2: Convert to fraction form
    13,385.20/20,077.80 = 12,874.90/x
  3. Step 3: Cross multiply
    13,385.20x = 20,077.80 × 12,874.90
  4. Step 4: Simplify right side
    13,385.20x = 258,499,667.22
  5. Step 5: Solve for x
    x = 258,499,667.22/13,385.20
  6. Step 6: Final answer
    x = 19,312.35

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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.