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Finding the Fourth Proportional to 13,611.78, 18,782.55 and 7,643.43

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Solution

The fourth proportional to 13,611.78, 18,782.55 and 7,643.43 is: 10,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.78 : 18,782.55 = 7,643.43 : x
  2. Step 2: Convert to fraction form
    13,611.78/18,782.55 = 7,643.43/x
  3. Step 3: Cross multiply
    13,611.78x = 18,782.55 × 7,643.43
  4. Step 4: Simplify right side
    13,611.78x = 143,563,106.15
  5. Step 5: Solve for x
    x = 143,563,106.15/13,611.78
  6. Step 6: Final answer
    x = 10,546.98

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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.