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Finding the Fourth Proportional to 13,611.45, 18,784.26 and 7,643.64

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Solution

The fourth proportional to 13,611.45, 18,784.26 and 7,643.64 is: 10,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.45 : 18,784.26 = 7,643.64 : x
  2. Step 2: Convert to fraction form
    13,611.45/18,784.26 = 7,643.64/x
  3. Step 3: Cross multiply
    13,611.45x = 18,784.26 × 7,643.64
  4. Step 4: Simplify right side
    13,611.45x = 143,580,121.11
  5. Step 5: Solve for x
    x = 143,580,121.11/13,611.45
  6. Step 6: Final answer
    x = 10,548.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.