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Finding the Fourth Proportional to 38,534.40, 57,704.40 and 30,758.40

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Solution

The fourth proportional to 38,534.40, 57,704.40 and 30,758.40 is: 46,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,534.40 : 57,704.40 = 30,758.40 : x
  2. Step 2: Convert to fraction form
    38,534.40/57,704.40 = 30,758.40/x
  3. Step 3: Cross multiply
    38,534.40x = 57,704.40 × 30,758.40
  4. Step 4: Simplify right side
    38,534.40x = 1,774,895,016.96
  5. Step 5: Solve for x
    x = 1,774,895,016.96/38,534.40
  6. Step 6: Final answer
    x = 46,060.01

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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.