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Finding the Fourth Proportional to 13,489.64, 18,594.06 and 8,174.42

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Solution

The fourth proportional to 13,489.64, 18,594.06 and 8,174.42 is: 11,267.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,489.64 : 18,594.06 = 8,174.42 : x
  2. Step 2: Convert to fraction form
    13,489.64/18,594.06 = 8,174.42/x
  3. Step 3: Cross multiply
    13,489.64x = 18,594.06 × 8,174.42
  4. Step 4: Simplify right side
    13,489.64x = 151,995,655.95
  5. Step 5: Solve for x
    x = 151,995,655.95/13,489.64
  6. Step 6: Final answer
    x = 11,267.58

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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.