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Finding the Fourth Proportional to 13,852.64, 20,777.68 and 5,644

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Solution

The fourth proportional to 13,852.64, 20,777.68 and 5,644 is: 8,465.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,852.64 : 20,777.68 = 5,644 : x
  2. Step 2: Convert to fraction form
    13,852.64/20,777.68 = 5,644/x
  3. Step 3: Cross multiply
    13,852.64x = 20,777.68 × 5,644
  4. Step 4: Simplify right side
    13,852.64x = 117,269,225.92
  5. Step 5: Solve for x
    x = 117,269,225.92/13,852.64
  6. Step 6: Final answer
    x = 8,465.48

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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.