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Finding the Fourth Proportional to 30,683.68, 46,083.87 and 19,078

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Solution

The fourth proportional to 30,683.68, 46,083.87 and 19,078 is: 28,653.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.68 : 46,083.87 = 19,078 : x
  2. Step 2: Convert to fraction form
    30,683.68/46,083.87 = 19,078/x
  3. Step 3: Cross multiply
    30,683.68x = 46,083.87 × 19,078
  4. Step 4: Simplify right side
    30,683.68x = 879,188,071.86
  5. Step 5: Solve for x
    x = 879,188,071.86/30,683.68
  6. Step 6: Final answer
    x = 28,653.28

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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.