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Finding the Fourth Proportional to 13,464.68, 18,578.54 and 8,156.42

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Solution

The fourth proportional to 13,464.68, 18,578.54 and 8,156.42 is: 11,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.68 : 18,578.54 = 8,156.42 : x
  2. Step 2: Convert to fraction form
    13,464.68/18,578.54 = 8,156.42/x
  3. Step 3: Cross multiply
    13,464.68x = 18,578.54 × 8,156.42
  4. Step 4: Simplify right side
    13,464.68x = 151,534,241.55
  5. Step 5: Solve for x
    x = 151,534,241.55/13,464.68
  6. Step 6: Final answer
    x = 11,254.21

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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.