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Finding the Fourth Proportional to 30,978.36, 46,473.14 and 11,284.56

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Solution

The fourth proportional to 30,978.36, 46,473.14 and 11,284.56 is: 16,928.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,978.36 : 46,473.14 = 11,284.56 : x
  2. Step 2: Convert to fraction form
    30,978.36/46,473.14 = 11,284.56/x
  3. Step 3: Cross multiply
    30,978.36x = 46,473.14 × 11,284.56
  4. Step 4: Simplify right side
    30,978.36x = 524,428,936.72
  5. Step 5: Solve for x
    x = 524,428,936.72/30,978.36
  6. Step 6: Final answer
    x = 16,928.88

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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.