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Finding the Fourth Proportional to 30,856.80, 46,212.30 and 20,942.40

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Solution

The fourth proportional to 30,856.80, 46,212.30 and 20,942.40 is: 31,364.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,856.80 : 46,212.30 = 20,942.40 : x
  2. Step 2: Convert to fraction form
    30,856.80/46,212.30 = 20,942.40/x
  3. Step 3: Cross multiply
    30,856.80x = 46,212.30 × 20,942.40
  4. Step 4: Simplify right side
    30,856.80x = 967,796,471.52
  5. Step 5: Solve for x
    x = 967,796,471.52/30,856.80
  6. Step 6: Final answer
    x = 31,364.12

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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.