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Finding the Fourth Proportional to 13,701, 20,551.48 and 3,312.74

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Solution

The fourth proportional to 13,701, 20,551.48 and 3,312.74 is: 4,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,701 : 20,551.48 = 3,312.74 : x
  2. Step 2: Convert to fraction form
    13,701/20,551.48 = 3,312.74/x
  3. Step 3: Cross multiply
    13,701x = 20,551.48 × 3,312.74
  4. Step 4: Simplify right side
    13,701x = 68,081,709.86
  5. Step 5: Solve for x
    x = 68,081,709.86/13,701
  6. Step 6: Final answer
    x = 4,969.11

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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.