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Finding the Fourth Proportional to 30,998.96, 46,472.24 and 13,455.60

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Solution

The fourth proportional to 30,998.96, 46,472.24 and 13,455.60 is: 20,172.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,998.96 : 46,472.24 = 13,455.60 : x
  2. Step 2: Convert to fraction form
    30,998.96/46,472.24 = 13,455.60/x
  3. Step 3: Cross multiply
    30,998.96x = 46,472.24 × 13,455.60
  4. Step 4: Simplify right side
    30,998.96x = 625,311,872.54
  5. Step 5: Solve for x
    x = 625,311,872.54/30,998.96
  6. Step 6: Final answer
    x = 20,172.03

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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.