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Finding the Fourth Proportional to 30,859, 46,290.66 and 12,391

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Solution

The fourth proportional to 30,859, 46,290.66 and 12,391 is: 18,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,859 : 46,290.66 = 12,391 : x
  2. Step 2: Convert to fraction form
    30,859/46,290.66 = 12,391/x
  3. Step 3: Cross multiply
    30,859x = 46,290.66 × 12,391
  4. Step 4: Simplify right side
    30,859x = 573,587,568.06
  5. Step 5: Solve for x
    x = 573,587,568.06/30,859
  6. Step 6: Final answer
    x = 18,587.37

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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.