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Finding the Fourth Proportional to 1,941.95, 2,912.40 and 846.05

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Solution

The fourth proportional to 1,941.95, 2,912.40 and 846.05 is: 1,268.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,941.95 : 2,912.40 = 846.05 : x
  2. Step 2: Convert to fraction form
    1,941.95/2,912.40 = 846.05/x
  3. Step 3: Cross multiply
    1,941.95x = 2,912.40 × 846.05
  4. Step 4: Simplify right side
    1,941.95x = 2,464,036.02
  5. Step 5: Solve for x
    x = 2,464,036.02/1,941.95
  6. Step 6: Final answer
    x = 1,268.85

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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.