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Finding the Fourth Proportional to 30,774, 46,156.32 and 8,585.04

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Solution

The fourth proportional to 30,774, 46,156.32 and 8,585.04 is: 12,876.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,774 : 46,156.32 = 8,585.04 : x
  2. Step 2: Convert to fraction form
    30,774/46,156.32 = 8,585.04/x
  3. Step 3: Cross multiply
    30,774x = 46,156.32 × 8,585.04
  4. Step 4: Simplify right side
    30,774x = 396,253,853.45
  5. Step 5: Solve for x
    x = 396,253,853.45/30,774
  6. Step 6: Final answer
    x = 12,876.25

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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.