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Finding the Fourth Proportional to 1,647, 2,272.86 and 948.36

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Solution

The fourth proportional to 1,647, 2,272.86 and 948.36 is: 1,308.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,647 : 2,272.86 = 948.36 : x
  2. Step 2: Convert to fraction form
    1,647/2,272.86 = 948.36/x
  3. Step 3: Cross multiply
    1,647x = 2,272.86 × 948.36
  4. Step 4: Simplify right side
    1,647x = 2,155,489.51
  5. Step 5: Solve for x
    x = 2,155,489.51/1,647
  6. Step 6: Final answer
    x = 1,308.74

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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.