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Finding the Fourth Proportional to 30,858, 46,289.16 and 12,390

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Solution

The fourth proportional to 30,858, 46,289.16 and 12,390 is: 18,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,858 : 46,289.16 = 12,390 : x
  2. Step 2: Convert to fraction form
    30,858/46,289.16 = 12,390/x
  3. Step 3: Cross multiply
    30,858x = 46,289.16 × 12,390
  4. Step 4: Simplify right side
    30,858x = 573,522,692.40
  5. Step 5: Solve for x
    x = 573,522,692.40/30,858
  6. Step 6: Final answer
    x = 18,585.87

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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.