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Finding the Fourth Proportional to 12,378.96, 17,091 and 8,189.64

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Solution

The fourth proportional to 12,378.96, 17,091 and 8,189.64 is: 11,307.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.96 : 17,091 = 8,189.64 : x
  2. Step 2: Convert to fraction form
    12,378.96/17,091 = 8,189.64/x
  3. Step 3: Cross multiply
    12,378.96x = 17,091 × 8,189.64
  4. Step 4: Simplify right side
    12,378.96x = 139,969,137.24
  5. Step 5: Solve for x
    x = 139,969,137.24/12,378.96
  6. Step 6: Final answer
    x = 11,307.02

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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.