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Finding the Fourth Proportional to 2,361.09, 3,542.10 and 975.18

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Solution

The fourth proportional to 2,361.09, 3,542.10 and 975.18 is: 1,462.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.09 : 3,542.10 = 975.18 : x
  2. Step 2: Convert to fraction form
    2,361.09/3,542.10 = 975.18/x
  3. Step 3: Cross multiply
    2,361.09x = 3,542.10 × 975.18
  4. Step 4: Simplify right side
    2,361.09x = 3,454,185.08
  5. Step 5: Solve for x
    x = 3,454,185.08/2,361.09
  6. Step 6: Final answer
    x = 1,462.96

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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.