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Finding the Fourth Proportional to 13,903.54, 20,852.78 and 5,583.22

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Solution

The fourth proportional to 13,903.54, 20,852.78 and 5,583.22 is: 8,373.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.54 : 20,852.78 = 5,583.22 : x
  2. Step 2: Convert to fraction form
    13,903.54/20,852.78 = 5,583.22/x
  3. Step 3: Cross multiply
    13,903.54x = 20,852.78 × 5,583.22
  4. Step 4: Simplify right side
    13,903.54x = 116,425,658.35
  5. Step 5: Solve for x
    x = 116,425,658.35/13,903.54
  6. Step 6: Final answer
    x = 8,373.81

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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.