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Finding the Fourth Proportional to 30,843.40, 46,232.70 and 12,116.20

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Solution

The fourth proportional to 30,843.40, 46,232.70 and 12,116.20 is: 18,161.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.40 : 46,232.70 = 12,116.20 : x
  2. Step 2: Convert to fraction form
    30,843.40/46,232.70 = 12,116.20/x
  3. Step 3: Cross multiply
    30,843.40x = 46,232.70 × 12,116.20
  4. Step 4: Simplify right side
    30,843.40x = 560,164,639.74
  5. Step 5: Solve for x
    x = 560,164,639.74/30,843.40
  6. Step 6: Final answer
    x = 18,161.57

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1.5x scale

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.