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Finding the Fourth Proportional to 13,709.56, 20,564.34 and 7,869.88

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Solution

The fourth proportional to 13,709.56, 20,564.34 and 7,869.88 is: 11,804.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,709.56 : 20,564.34 = 7,869.88 : x
  2. Step 2: Convert to fraction form
    13,709.56/20,564.34 = 7,869.88/x
  3. Step 3: Cross multiply
    13,709.56x = 20,564.34 × 7,869.88
  4. Step 4: Simplify right side
    13,709.56x = 161,838,888.08
  5. Step 5: Solve for x
    x = 161,838,888.08/13,709.56
  6. Step 6: Final answer
    x = 11,804.82

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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.