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Finding the Fourth Proportional to 13,804.56, 20,689.56 and 6,881.04

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Solution

The fourth proportional to 13,804.56, 20,689.56 and 6,881.04 is: 10,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,804.56 : 20,689.56 = 6,881.04 : x
  2. Step 2: Convert to fraction form
    13,804.56/20,689.56 = 6,881.04/x
  3. Step 3: Cross multiply
    13,804.56x = 20,689.56 × 6,881.04
  4. Step 4: Simplify right side
    13,804.56x = 142,365,689.94
  5. Step 5: Solve for x
    x = 142,365,689.94/13,804.56
  6. Step 6: Final answer
    x = 10,312.95

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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.