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Finding the Fourth Proportional to 2,361.95, 3,543.31 and 718.11

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Solution

The fourth proportional to 2,361.95, 3,543.31 and 718.11 is: 1,077.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,361.95 : 3,543.31 = 718.11 : x
  2. Step 2: Convert to fraction form
    2,361.95/3,543.31 = 718.11/x
  3. Step 3: Cross multiply
    2,361.95x = 3,543.31 × 718.11
  4. Step 4: Simplify right side
    2,361.95x = 2,544,482.75
  5. Step 5: Solve for x
    x = 2,544,482.75/2,361.95
  6. Step 6: Final answer
    x = 1,077.28

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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.