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Finding the Fourth Proportional to 31,193.80, 46,790.70 and 12,482.80

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Solution

The fourth proportional to 31,193.80, 46,790.70 and 12,482.80 is: 18,724.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,193.80 : 46,790.70 = 12,482.80 : x
  2. Step 2: Convert to fraction form
    31,193.80/46,790.70 = 12,482.80/x
  3. Step 3: Cross multiply
    31,193.80x = 46,790.70 × 12,482.80
  4. Step 4: Simplify right side
    31,193.80x = 584,078,949.96
  5. Step 5: Solve for x
    x = 584,078,949.96/31,193.80
  6. Step 6: Final answer
    x = 18,724.20

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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.