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Finding the Fourth Proportional to 13,411.68, 20,109.68 and 4,048.90

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Solution

The fourth proportional to 13,411.68, 20,109.68 and 4,048.90 is: 6,070.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,411.68 : 20,109.68 = 4,048.90 : x
  2. Step 2: Convert to fraction form
    13,411.68/20,109.68 = 4,048.90/x
  3. Step 3: Cross multiply
    13,411.68x = 20,109.68 × 4,048.90
  4. Step 4: Simplify right side
    13,411.68x = 81,422,083.35
  5. Step 5: Solve for x
    x = 81,422,083.35/13,411.68
  6. Step 6: Final answer
    x = 6,070.98

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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.