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Finding the Fourth Proportional to 13,977.76, 20,969.76 and 4,620.70

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Solution

The fourth proportional to 13,977.76, 20,969.76 and 4,620.70 is: 6,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,977.76 : 20,969.76 = 4,620.70 : x
  2. Step 2: Convert to fraction form
    13,977.76/20,969.76 = 4,620.70/x
  3. Step 3: Cross multiply
    13,977.76x = 20,969.76 × 4,620.70
  4. Step 4: Simplify right side
    13,977.76x = 96,894,970.03
  5. Step 5: Solve for x
    x = 96,894,970.03/13,977.76
  6. Step 6: Final answer
    x = 6,932.08

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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.