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Finding the Fourth Proportional to 1,896.54, 2,845.15 and 922.64

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Solution

The fourth proportional to 1,896.54, 2,845.15 and 922.64 is: 1,384.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.54 : 2,845.15 = 922.64 : x
  2. Step 2: Convert to fraction form
    1,896.54/2,845.15 = 922.64/x
  3. Step 3: Cross multiply
    1,896.54x = 2,845.15 × 922.64
  4. Step 4: Simplify right side
    1,896.54x = 2,625,051.26
  5. Step 5: Solve for x
    x = 2,625,051.26/1,896.54
  6. Step 6: Final answer
    x = 1,384.13

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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.