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Finding the Fourth Proportional to 1,858.03, 2,798.05 and 1,617.46

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Solution

The fourth proportional to 1,858.03, 2,798.05 and 1,617.46 is: 2,435.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,858.03 : 2,798.05 = 1,617.46 : x
  2. Step 2: Convert to fraction form
    1,858.03/2,798.05 = 1,617.46/x
  3. Step 3: Cross multiply
    1,858.03x = 2,798.05 × 1,617.46
  4. Step 4: Simplify right side
    1,858.03x = 4,525,733.95
  5. Step 5: Solve for x
    x = 4,525,733.95/1,858.03
  6. Step 6: Final answer
    x = 2,435.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.