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Finding the Fourth Proportional to 30,949.98, 42,710.94 and 18,202.20

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Solution

The fourth proportional to 30,949.98, 42,710.94 and 18,202.20 is: 25,119.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,949.98 : 42,710.94 = 18,202.20 : x
  2. Step 2: Convert to fraction form
    30,949.98/42,710.94 = 18,202.20/x
  3. Step 3: Cross multiply
    30,949.98x = 42,710.94 × 18,202.20
  4. Step 4: Simplify right side
    30,949.98x = 777,433,072.07
  5. Step 5: Solve for x
    x = 777,433,072.07/30,949.98
  6. Step 6: Final answer
    x = 25,119.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.