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Finding the Fourth Proportional to 13,402.10, 20,102.30 and 4,042.44

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Solution

The fourth proportional to 13,402.10, 20,102.30 and 4,042.44 is: 6,063.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.10 : 20,102.30 = 4,042.44 : x
  2. Step 2: Convert to fraction form
    13,402.10/20,102.30 = 4,042.44/x
  3. Step 3: Cross multiply
    13,402.10x = 20,102.30 × 4,042.44
  4. Step 4: Simplify right side
    13,402.10x = 81,262,341.61
  5. Step 5: Solve for x
    x = 81,262,341.61/13,402.10
  6. Step 6: Final answer
    x = 6,063.40

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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.