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Finding the Fourth Proportional to 2,804.96, 3,871.19 and 1,686.48

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Solution

The fourth proportional to 2,804.96, 3,871.19 and 1,686.48 is: 2,327.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.96 : 3,871.19 = 1,686.48 : x
  2. Step 2: Convert to fraction form
    2,804.96/3,871.19 = 1,686.48/x
  3. Step 3: Cross multiply
    2,804.96x = 3,871.19 × 1,686.48
  4. Step 4: Simplify right side
    2,804.96x = 6,528,676.08
  5. Step 5: Solve for x
    x = 6,528,676.08/2,804.96
  6. Step 6: Final answer
    x = 2,327.55

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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.