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Finding the Fourth Proportional to 2,804.60, 3,867 and 1,921.16

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Solution

The fourth proportional to 2,804.60, 3,867 and 1,921.16 is: 2,648.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.60 : 3,867 = 1,921.16 : x
  2. Step 2: Convert to fraction form
    2,804.60/3,867 = 1,921.16/x
  3. Step 3: Cross multiply
    2,804.60x = 3,867 × 1,921.16
  4. Step 4: Simplify right side
    2,804.60x = 7,429,125.72
  5. Step 5: Solve for x
    x = 7,429,125.72/2,804.60
  6. Step 6: Final answer
    x = 2,648.91

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1.5x scale

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.