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Finding the Fourth Proportional to 13,807.80, 20,719.26 and 6,415.74

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Solution

The fourth proportional to 13,807.80, 20,719.26 and 6,415.74 is: 9,627.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.80 : 20,719.26 = 6,415.74 : x
  2. Step 2: Convert to fraction form
    13,807.80/20,719.26 = 6,415.74/x
  3. Step 3: Cross multiply
    13,807.80x = 20,719.26 × 6,415.74
  4. Step 4: Simplify right side
    13,807.80x = 132,929,385.15
  5. Step 5: Solve for x
    x = 132,929,385.15/13,807.80
  6. Step 6: Final answer
    x = 9,627.12

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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.