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Finding the Fourth Proportional to 13,880.66, 20,820.86 and 4,019.86

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Solution

The fourth proportional to 13,880.66, 20,820.86 and 4,019.86 is: 6,029.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,880.66 : 20,820.86 = 4,019.86 : x
  2. Step 2: Convert to fraction form
    13,880.66/20,820.86 = 4,019.86/x
  3. Step 3: Cross multiply
    13,880.66x = 20,820.86 × 4,019.86
  4. Step 4: Simplify right side
    13,880.66x = 83,696,818.08
  5. Step 5: Solve for x
    x = 83,696,818.08/13,880.66
  6. Step 6: Final answer
    x = 6,029.74

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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.