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Finding the Fourth Proportional to 25,830.51, 38,720.99 and 8,288.34

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Solution

The fourth proportional to 25,830.51, 38,720.99 and 8,288.34 is: 12,424.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,830.51 : 38,720.99 = 8,288.34 : x
  2. Step 2: Convert to fraction form
    25,830.51/38,720.99 = 8,288.34/x
  3. Step 3: Cross multiply
    25,830.51x = 38,720.99 × 8,288.34
  4. Step 4: Simplify right side
    25,830.51x = 320,932,688.81
  5. Step 5: Solve for x
    x = 320,932,688.81/25,830.51
  6. Step 6: Final answer
    x = 12,424.56

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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.