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Finding the Fourth Proportional to 1,985, 2,740.66 and 1,322.60

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Solution

The fourth proportional to 1,985, 2,740.66 and 1,322.60 is: 1,826.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985 : 2,740.66 = 1,322.60 : x
  2. Step 2: Convert to fraction form
    1,985/2,740.66 = 1,322.60/x
  3. Step 3: Cross multiply
    1,985x = 2,740.66 × 1,322.60
  4. Step 4: Simplify right side
    1,985x = 3,624,796.92
  5. Step 5: Solve for x
    x = 3,624,796.92/1,985
  6. Step 6: Final answer
    x = 1,826.09

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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.