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Finding the Fourth Proportional to 1,943.95, 2,912.05 and 902.54

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Solution

The fourth proportional to 1,943.95, 2,912.05 and 902.54 is: 1,352.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,943.95 : 2,912.05 = 902.54 : x
  2. Step 2: Convert to fraction form
    1,943.95/2,912.05 = 902.54/x
  3. Step 3: Cross multiply
    1,943.95x = 2,912.05 × 902.54
  4. Step 4: Simplify right side
    1,943.95x = 2,628,250.02
  5. Step 5: Solve for x
    x = 2,628,250.02/1,943.95
  6. Step 6: Final answer
    x = 1,352.02

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1.5x scale

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.