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Finding the Fourth Proportional to 30,662.82, 45,969.78 and 28,202.58

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Solution

The fourth proportional to 30,662.82, 45,969.78 and 28,202.58 is: 42,281.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662.82 : 45,969.78 = 28,202.58 : x
  2. Step 2: Convert to fraction form
    30,662.82/45,969.78 = 28,202.58/x
  3. Step 3: Cross multiply
    30,662.82x = 45,969.78 × 28,202.58
  4. Step 4: Simplify right side
    30,662.82x = 1,296,466,398.03
  5. Step 5: Solve for x
    x = 1,296,466,398.03/30,662.82
  6. Step 6: Final answer
    x = 42,281.38

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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.