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Finding the Fourth Proportional to 25,980.43, 38,965.02 and 8,212.51

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Solution

The fourth proportional to 25,980.43, 38,965.02 and 8,212.51 is: 12,316.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,980.43 : 38,965.02 = 8,212.51 : x
  2. Step 2: Convert to fraction form
    25,980.43/38,965.02 = 8,212.51/x
  3. Step 3: Cross multiply
    25,980.43x = 38,965.02 × 8,212.51
  4. Step 4: Simplify right side
    25,980.43x = 320,000,616.40
  5. Step 5: Solve for x
    x = 320,000,616.40/25,980.43
  6. Step 6: Final answer
    x = 12,316.99

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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.