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Finding the Fourth Proportional to 9,135.68, 12,524.96 and 8,969.60

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Solution

The fourth proportional to 9,135.68, 12,524.96 and 8,969.60 is: 12,297.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,135.68 : 12,524.96 = 8,969.60 : x
  2. Step 2: Convert to fraction form
    9,135.68/12,524.96 = 8,969.60/x
  3. Step 3: Cross multiply
    9,135.68x = 12,524.96 × 8,969.60
  4. Step 4: Simplify right side
    9,135.68x = 112,343,881.22
  5. Step 5: Solve for x
    x = 112,343,881.22/9,135.68
  6. Step 6: Final answer
    x = 12,297.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.