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Finding the Fourth Proportional to 3,574.49, 5,361.74 and 977.43

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Solution

The fourth proportional to 3,574.49, 5,361.74 and 977.43 is: 1,466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.49 : 5,361.74 = 977.43 : x
  2. Step 2: Convert to fraction form
    3,574.49/5,361.74 = 977.43/x
  3. Step 3: Cross multiply
    3,574.49x = 5,361.74 × 977.43
  4. Step 4: Simplify right side
    3,574.49x = 5,240,736.54
  5. Step 5: Solve for x
    x = 5,240,736.54/3,574.49
  6. Step 6: Final answer
    x = 1,466.15

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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.