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Finding the Fourth Proportional to 2,854.61, 3,940.00 and 1,735.31

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Solution

The fourth proportional to 2,854.61, 3,940.00 and 1,735.31 is: 2,395.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.61 : 3,940.00 = 1,735.31 : x
  2. Step 2: Convert to fraction form
    2,854.61/3,940.00 = 1,735.31/x
  3. Step 3: Cross multiply
    2,854.61x = 3,940.00 × 1,735.31
  4. Step 4: Simplify right side
    2,854.61x = 6,837,130.17
  5. Step 5: Solve for x
    x = 6,837,130.17/2,854.61
  6. Step 6: Final answer
    x = 2,395.12

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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.