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Finding the Fourth Proportional to 2,452.94, 3,385.09 and 1,405

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Solution

The fourth proportional to 2,452.94, 3,385.09 and 1,405 is: 1,938.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,452.94 : 3,385.09 = 1,405 : x
  2. Step 2: Convert to fraction form
    2,452.94/3,385.09 = 1,405/x
  3. Step 3: Cross multiply
    2,452.94x = 3,385.09 × 1,405
  4. Step 4: Simplify right side
    2,452.94x = 4,756,047.94
  5. Step 5: Solve for x
    x = 4,756,047.94/2,452.94
  6. Step 6: Final answer
    x = 1,938.92

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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.