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Finding the Fourth Proportional to 12,742.64, 17,578.92 and 8,495.84

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Solution

The fourth proportional to 12,742.64, 17,578.92 and 8,495.84 is: 11,720.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,742.64 : 17,578.92 = 8,495.84 : x
  2. Step 2: Convert to fraction form
    12,742.64/17,578.92 = 8,495.84/x
  3. Step 3: Cross multiply
    12,742.64x = 17,578.92 × 8,495.84
  4. Step 4: Simplify right side
    12,742.64x = 149,347,691.69
  5. Step 5: Solve for x
    x = 149,347,691.69/12,742.64
  6. Step 6: Final answer
    x = 11,720.31

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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.