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Finding the Fourth Proportional to 13,577.64, 20,360 and 5,261.54

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Solution

The fourth proportional to 13,577.64, 20,360 and 5,261.54 is: 7,889.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.64 : 20,360 = 5,261.54 : x
  2. Step 2: Convert to fraction form
    13,577.64/20,360 = 5,261.54/x
  3. Step 3: Cross multiply
    13,577.64x = 20,360 × 5,261.54
  4. Step 4: Simplify right side
    13,577.64x = 107,124,954.40
  5. Step 5: Solve for x
    x = 107,124,954.40/13,577.64
  6. Step 6: Final answer
    x = 7,889.81

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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.