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Finding the Fourth Proportional to 9,858.56, 13,611.64 and 9,231.20

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Solution

The fourth proportional to 9,858.56, 13,611.64 and 9,231.20 is: 12,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.56 : 13,611.64 = 9,231.20 : x
  2. Step 2: Convert to fraction form
    9,858.56/13,611.64 = 9,231.20/x
  3. Step 3: Cross multiply
    9,858.56x = 13,611.64 × 9,231.20
  4. Step 4: Simplify right side
    9,858.56x = 125,651,771.17
  5. Step 5: Solve for x
    x = 125,651,771.17/9,858.56
  6. Step 6: Final answer
    x = 12,745.45

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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.