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Finding the Fourth Proportional to 30,860, 46,228.06 and 14,196.80

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Solution

The fourth proportional to 30,860, 46,228.06 and 14,196.80 is: 21,266.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,860 : 46,228.06 = 14,196.80 : x
  2. Step 2: Convert to fraction form
    30,860/46,228.06 = 14,196.80/x
  3. Step 3: Cross multiply
    30,860x = 46,228.06 × 14,196.80
  4. Step 4: Simplify right side
    30,860x = 656,290,522.21
  5. Step 5: Solve for x
    x = 656,290,522.21/30,860
  6. Step 6: Final answer
    x = 21,266.71

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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.