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Finding the Fourth Proportional to 3,750.40, 5,175.41 and 2,258.00

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Solution

The fourth proportional to 3,750.40, 5,175.41 and 2,258.00 is: 3,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,750.40 : 5,175.41 = 2,258.00 : x
  2. Step 2: Convert to fraction form
    3,750.40/5,175.41 = 2,258.00/x
  3. Step 3: Cross multiply
    3,750.40x = 5,175.41 × 2,258.00
  4. Step 4: Simplify right side
    3,750.40x = 11,686,075.75
  5. Step 5: Solve for x
    x = 11,686,075.75/3,750.40
  6. Step 6: Final answer
    x = 3,115.95

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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.