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Finding the Fourth Proportional to 30,872.80, 46,330.80 and 13,355.20

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Solution

The fourth proportional to 30,872.80, 46,330.80 and 13,355.20 is: 20,042.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,872.80 : 46,330.80 = 13,355.20 : x
  2. Step 2: Convert to fraction form
    30,872.80/46,330.80 = 13,355.20/x
  3. Step 3: Cross multiply
    30,872.80x = 46,330.80 × 13,355.20
  4. Step 4: Simplify right side
    30,872.80x = 618,757,100.16
  5. Step 5: Solve for x
    x = 618,757,100.16/30,872.80
  6. Step 6: Final answer
    x = 20,042.14

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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.