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Finding the Fourth Proportional to 30,894, 46,361.45 and 12,171.66

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Solution

The fourth proportional to 30,894, 46,361.45 and 12,171.66 is: 18,265.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,894 : 46,361.45 = 12,171.66 : x
  2. Step 2: Convert to fraction form
    30,894/46,361.45 = 12,171.66/x
  3. Step 3: Cross multiply
    30,894x = 46,361.45 × 12,171.66
  4. Step 4: Simplify right side
    30,894x = 564,295,806.51
  5. Step 5: Solve for x
    x = 564,295,806.51/30,894
  6. Step 6: Final answer
    x = 18,265.55

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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.