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Finding the Fourth Proportional to 25,806.50, 38,716.25 and 7,338.50

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Solution

The fourth proportional to 25,806.50, 38,716.25 and 7,338.50 is: 11,009.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,806.50 : 38,716.25 = 7,338.50 : x
  2. Step 2: Convert to fraction form
    25,806.50/38,716.25 = 7,338.50/x
  3. Step 3: Cross multiply
    25,806.50x = 38,716.25 × 7,338.50
  4. Step 4: Simplify right side
    25,806.50x = 284,119,200.63
  5. Step 5: Solve for x
    x = 284,119,200.63/25,806.50
  6. Step 6: Final answer
    x = 11,009.60

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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.