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Finding the Fourth Proportional to 13,813.76, 20,687.64 and 7,564.40

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Solution

The fourth proportional to 13,813.76, 20,687.64 and 7,564.40 is: 11,328.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.76 : 20,687.64 = 7,564.40 : x
  2. Step 2: Convert to fraction form
    13,813.76/20,687.64 = 7,564.40/x
  3. Step 3: Cross multiply
    13,813.76x = 20,687.64 × 7,564.40
  4. Step 4: Simplify right side
    13,813.76x = 156,489,584.02
  5. Step 5: Solve for x
    x = 156,489,584.02/13,813.76
  6. Step 6: Final answer
    x = 11,328.53

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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.