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Finding the Fourth Proportional to 13,883.69, 20,828.21 and 5,564.55

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Solution

The fourth proportional to 13,883.69, 20,828.21 and 5,564.55 is: 8,347.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,883.69 : 20,828.21 = 5,564.55 : x
  2. Step 2: Convert to fraction form
    13,883.69/20,828.21 = 5,564.55/x
  3. Step 3: Cross multiply
    13,883.69x = 20,828.21 × 5,564.55
  4. Step 4: Simplify right side
    13,883.69x = 115,899,596.03
  5. Step 5: Solve for x
    x = 115,899,596.03/13,883.69
  6. Step 6: Final answer
    x = 8,347.90

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1.5x scale

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.