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Finding the Fourth Proportional to 38,478.40, 57,760.80 and 22,904.80

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Solution

The fourth proportional to 38,478.40, 57,760.80 and 22,904.80 is: 34,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,478.40 : 57,760.80 = 22,904.80 : x
  2. Step 2: Convert to fraction form
    38,478.40/57,760.80 = 22,904.80/x
  3. Step 3: Cross multiply
    38,478.40x = 57,760.80 × 22,904.80
  4. Step 4: Simplify right side
    38,478.40x = 1,322,999,571.84
  5. Step 5: Solve for x
    x = 1,322,999,571.84/38,478.40
  6. Step 6: Final answer
    x = 34,382.92

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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.