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Finding the Fourth Proportional to 2,878.81, 3,973.16 and 1,684.15

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Solution

The fourth proportional to 2,878.81, 3,973.16 and 1,684.15 is: 2,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.81 : 3,973.16 = 1,684.15 : x
  2. Step 2: Convert to fraction form
    2,878.81/3,973.16 = 1,684.15/x
  3. Step 3: Cross multiply
    2,878.81x = 3,973.16 × 1,684.15
  4. Step 4: Simplify right side
    2,878.81x = 6,691,397.41
  5. Step 5: Solve for x
    x = 6,691,397.41/2,878.81
  6. Step 6: Final answer
    x = 2,324.36

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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.