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Finding the Fourth Proportional to 25,457.64, 38,181.39 and 8,589

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Solution

The fourth proportional to 25,457.64, 38,181.39 and 8,589 is: 12,881.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,457.64 : 38,181.39 = 8,589 : x
  2. Step 2: Convert to fraction form
    25,457.64/38,181.39 = 8,589/x
  3. Step 3: Cross multiply
    25,457.64x = 38,181.39 × 8,589
  4. Step 4: Simplify right side
    25,457.64x = 327,939,958.71
  5. Step 5: Solve for x
    x = 327,939,958.71/25,457.64
  6. Step 6: Final answer
    x = 12,881.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.