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Finding the Fourth Proportional to 13,530.17, 18,659.54 and 8,494.86

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Solution

The fourth proportional to 13,530.17, 18,659.54 and 8,494.86 is: 11,715.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.17 : 18,659.54 = 8,494.86 : x
  2. Step 2: Convert to fraction form
    13,530.17/18,659.54 = 8,494.86/x
  3. Step 3: Cross multiply
    13,530.17x = 18,659.54 × 8,494.86
  4. Step 4: Simplify right side
    13,530.17x = 158,510,201.20
  5. Step 5: Solve for x
    x = 158,510,201.20/13,530.17
  6. Step 6: Final answer
    x = 11,715.32

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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.