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Finding the Fourth Proportional to 30,684.68, 46,085.37 and 19,079

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Solution

The fourth proportional to 30,684.68, 46,085.37 and 19,079 is: 28,654.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,684.68 : 46,085.37 = 19,079 : x
  2. Step 2: Convert to fraction form
    30,684.68/46,085.37 = 19,079/x
  3. Step 3: Cross multiply
    30,684.68x = 46,085.37 × 19,079
  4. Step 4: Simplify right side
    30,684.68x = 879,262,774.23
  5. Step 5: Solve for x
    x = 879,262,774.23/30,684.68
  6. Step 6: Final answer
    x = 28,654.78

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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.