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Finding the Fourth Proportional to 1,945.12, 2,685 and 1,895.44

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Solution

The fourth proportional to 1,945.12, 2,685 and 1,895.44 is: 2,616.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945.12 : 2,685 = 1,895.44 : x
  2. Step 2: Convert to fraction form
    1,945.12/2,685 = 1,895.44/x
  3. Step 3: Cross multiply
    1,945.12x = 2,685 × 1,895.44
  4. Step 4: Simplify right side
    1,945.12x = 5,089,256.40
  5. Step 5: Solve for x
    x = 5,089,256.40/1,945.12
  6. Step 6: Final answer
    x = 2,616.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.