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Finding the Fourth Proportional to 1,840.66, 2,538.54 and 1,698.50

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Solution

The fourth proportional to 1,840.66, 2,538.54 and 1,698.50 is: 2,342.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840.66 : 2,538.54 = 1,698.50 : x
  2. Step 2: Convert to fraction form
    1,840.66/2,538.54 = 1,698.50/x
  3. Step 3: Cross multiply
    1,840.66x = 2,538.54 × 1,698.50
  4. Step 4: Simplify right side
    1,840.66x = 4,311,716.54
  5. Step 5: Solve for x
    x = 4,311,716.54/1,840.66
  6. Step 6: Final answer
    x = 2,342.49

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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.