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Finding the Fourth Proportional to 30,938.38, 46,409.19 and 14,313.94

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Solution

The fourth proportional to 30,938.38, 46,409.19 and 14,313.94 is: 21,471.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,938.38 : 46,409.19 = 14,313.94 : x
  2. Step 2: Convert to fraction form
    30,938.38/46,409.19 = 14,313.94/x
  3. Step 3: Cross multiply
    30,938.38x = 46,409.19 × 14,313.94
  4. Step 4: Simplify right side
    30,938.38x = 664,298,361.11
  5. Step 5: Solve for x
    x = 664,298,361.11/30,938.38
  6. Step 6: Final answer
    x = 21,471.66

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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.