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Finding the Fourth Proportional to 2,646.94, 3,969.40 and 891.47

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Solution

The fourth proportional to 2,646.94, 3,969.40 and 891.47 is: 1,336.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.94 : 3,969.40 = 891.47 : x
  2. Step 2: Convert to fraction form
    2,646.94/3,969.40 = 891.47/x
  3. Step 3: Cross multiply
    2,646.94x = 3,969.40 × 891.47
  4. Step 4: Simplify right side
    2,646.94x = 3,538,593.60
  5. Step 5: Solve for x
    x = 3,538,593.60/2,646.94
  6. Step 6: Final answer
    x = 1,336.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.