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Finding the Fourth Proportional to 2,854.45, 3,939.80 and 1,858.00

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Solution

The fourth proportional to 2,854.45, 3,939.80 and 1,858.00 is: 2,564.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854.45 : 3,939.80 = 1,858.00 : x
  2. Step 2: Convert to fraction form
    2,854.45/3,939.80 = 1,858.00/x
  3. Step 3: Cross multiply
    2,854.45x = 3,939.80 × 1,858.00
  4. Step 4: Simplify right side
    2,854.45x = 7,320,129.26
  5. Step 5: Solve for x
    x = 7,320,129.26/2,854.45
  6. Step 6: Final answer
    x = 2,564.46

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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.