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Finding the Fourth Proportional to 3,574.66, 5,361.17 and 977.80

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Solution

The fourth proportional to 3,574.66, 5,361.17 and 977.80 is: 1,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,574.66 : 5,361.17 = 977.80 : x
  2. Step 2: Convert to fraction form
    3,574.66/5,361.17 = 977.80/x
  3. Step 3: Cross multiply
    3,574.66x = 5,361.17 × 977.80
  4. Step 4: Simplify right side
    3,574.66x = 5,242,152.03
  5. Step 5: Solve for x
    x = 5,242,152.03/3,574.66
  6. Step 6: Final answer
    x = 1,466.48

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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.