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Finding the Fourth Proportional to 9,539.56, 13,157.94 and 9,218.44

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Solution

The fourth proportional to 9,539.56, 13,157.94 and 9,218.44 is: 12,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,539.56 : 13,157.94 = 9,218.44 : x
  2. Step 2: Convert to fraction form
    9,539.56/13,157.94 = 9,218.44/x
  3. Step 3: Cross multiply
    9,539.56x = 13,157.94 × 9,218.44
  4. Step 4: Simplify right side
    9,539.56x = 121,295,680.41
  5. Step 5: Solve for x
    x = 121,295,680.41/9,539.56
  6. Step 6: Final answer
    x = 12,715.02

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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.