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Finding the Fourth Proportional to 25,477.74, 38,214.72 and 7,947

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Solution

The fourth proportional to 25,477.74, 38,214.72 and 7,947 is: 11,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,477.74 : 38,214.72 = 7,947 : x
  2. Step 2: Convert to fraction form
    25,477.74/38,214.72 = 7,947/x
  3. Step 3: Cross multiply
    25,477.74x = 38,214.72 × 7,947
  4. Step 4: Simplify right side
    25,477.74x = 303,692,379.84
  5. Step 5: Solve for x
    x = 303,692,379.84/25,477.74
  6. Step 6: Final answer
    x = 11,919.91

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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.