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Finding the Fourth Proportional to 30,894.81, 46,361.04 and 28,385.43

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Solution

The fourth proportional to 30,894.81, 46,361.04 and 28,385.43 is: 42,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894.81 : 46,361.04 = 28,385.43 : x
  2. Step 2: Convert to fraction form
    30,894.81/46,361.04 = 28,385.43/x
  3. Step 3: Cross multiply
    30,894.81x = 46,361.04 × 28,385.43
  4. Step 4: Simplify right side
    30,894.81x = 1,315,978,055.65
  5. Step 5: Solve for x
    x = 1,315,978,055.65/30,894.81
  6. Step 6: Final answer
    x = 42,595.44

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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.