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Finding the Fourth Proportional to 3,574.39, 5,361.51 and 977.32

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Solution

The fourth proportional to 3,574.39, 5,361.51 and 977.32 is: 1,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.39 : 5,361.51 = 977.32 : x
  2. Step 2: Convert to fraction form
    3,574.39/5,361.51 = 977.32/x
  3. Step 3: Cross multiply
    3,574.39x = 5,361.51 × 977.32
  4. Step 4: Simplify right side
    3,574.39x = 5,239,910.95
  5. Step 5: Solve for x
    x = 5,239,910.95/3,574.39
  6. Step 6: Final answer
    x = 1,465.96

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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.