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Finding the Fourth Proportional to 25,947, 38,922.93 and 8,412.12

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Solution

The fourth proportional to 25,947, 38,922.93 and 8,412.12 is: 12,618.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,947 : 38,922.93 = 8,412.12 : x
  2. Step 2: Convert to fraction form
    25,947/38,922.93 = 8,412.12/x
  3. Step 3: Cross multiply
    25,947x = 38,922.93 × 8,412.12
  4. Step 4: Simplify right side
    25,947x = 327,424,357.91
  5. Step 5: Solve for x
    x = 327,424,357.91/25,947
  6. Step 6: Final answer
    x = 12,618.97

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1.5x scale

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.