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Finding the Fourth Proportional to 8,354.10, 12,530.70 and 2,113.68

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Solution

The fourth proportional to 8,354.10, 12,530.70 and 2,113.68 is: 3,170.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.10 : 12,530.70 = 2,113.68 : x
  2. Step 2: Convert to fraction form
    8,354.10/12,530.70 = 2,113.68/x
  3. Step 3: Cross multiply
    8,354.10x = 12,530.70 × 2,113.68
  4. Step 4: Simplify right side
    8,354.10x = 26,485,889.98
  5. Step 5: Solve for x
    x = 26,485,889.98/8,354.10
  6. Step 6: Final answer
    x = 3,170.41

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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.