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Finding the Fourth Proportional to 30,975.96, 46,469.16 and 14,329.20

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Solution

The fourth proportional to 30,975.96, 46,469.16 and 14,329.20 is: 21,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.96 : 46,469.16 = 14,329.20 : x
  2. Step 2: Convert to fraction form
    30,975.96/46,469.16 = 14,329.20/x
  3. Step 3: Cross multiply
    30,975.96x = 46,469.16 × 14,329.20
  4. Step 4: Simplify right side
    30,975.96x = 665,865,887.47
  5. Step 5: Solve for x
    x = 665,865,887.47/30,975.96
  6. Step 6: Final answer
    x = 21,496.21

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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.