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Finding the Fourth Proportional to 2,361.38, 3,542.10 and 973.76

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Solution

The fourth proportional to 2,361.38, 3,542.10 and 973.76 is: 1,460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.38 : 3,542.10 = 973.76 : x
  2. Step 2: Convert to fraction form
    2,361.38/3,542.10 = 973.76/x
  3. Step 3: Cross multiply
    2,361.38x = 3,542.10 × 973.76
  4. Step 4: Simplify right side
    2,361.38x = 3,449,150.43
  5. Step 5: Solve for x
    x = 3,449,150.43/2,361.38
  6. Step 6: Final answer
    x = 1,460.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.