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Finding the Fourth Proportional to 35,674.50, 49,230.81 and 20,770.50

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Solution

The fourth proportional to 35,674.50, 49,230.81 and 20,770.50 is: 28,663.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,674.50 : 49,230.81 = 20,770.50 : x
  2. Step 2: Convert to fraction form
    35,674.50/49,230.81 = 20,770.50/x
  3. Step 3: Cross multiply
    35,674.50x = 49,230.81 × 20,770.50
  4. Step 4: Simplify right side
    35,674.50x = 1,022,548,539.11
  5. Step 5: Solve for x
    x = 1,022,548,539.11/35,674.50
  6. Step 6: Final answer
    x = 28,663.29

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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.