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Finding the Fourth Proportional to 30,868.98, 46,306.56 and 8,380.03

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Solution

The fourth proportional to 30,868.98, 46,306.56 and 8,380.03 is: 12,570.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,868.98 : 46,306.56 = 8,380.03 : x
  2. Step 2: Convert to fraction form
    30,868.98/46,306.56 = 8,380.03/x
  3. Step 3: Cross multiply
    30,868.98x = 46,306.56 × 8,380.03
  4. Step 4: Simplify right side
    30,868.98x = 388,050,362.00
  5. Step 5: Solve for x
    x = 388,050,362.00/30,868.98
  6. Step 6: Final answer
    x = 12,570.88

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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.