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Finding the Fourth Proportional to 30,510, 45,759.60 and 13,866.12

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Solution

The fourth proportional to 30,510, 45,759.60 and 13,866.12 is: 20,796.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,510 : 45,759.60 = 13,866.12 : x
  2. Step 2: Convert to fraction form
    30,510/45,759.60 = 13,866.12/x
  3. Step 3: Cross multiply
    30,510x = 45,759.60 × 13,866.12
  4. Step 4: Simplify right side
    30,510x = 634,508,104.75
  5. Step 5: Solve for x
    x = 634,508,104.75/30,510
  6. Step 6: Final answer
    x = 20,796.73

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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.