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Finding the Fourth Proportional to 13,102.56, 18,078.48 and 8,385.12

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Solution

The fourth proportional to 13,102.56, 18,078.48 and 8,385.12 is: 11,569.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,102.56 : 18,078.48 = 8,385.12 : x
  2. Step 2: Convert to fraction form
    13,102.56/18,078.48 = 8,385.12/x
  3. Step 3: Cross multiply
    13,102.56x = 18,078.48 × 8,385.12
  4. Step 4: Simplify right side
    13,102.56x = 151,590,224.22
  5. Step 5: Solve for x
    x = 151,590,224.22/13,102.56
  6. Step 6: Final answer
    x = 11,569.51

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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.