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Finding the Fourth Proportional to 2,804.40, 3,866.02 and 1,962.49

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Solution

The fourth proportional to 2,804.40, 3,866.02 and 1,962.49 is: 2,705.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.40 : 3,866.02 = 1,962.49 : x
  2. Step 2: Convert to fraction form
    2,804.40/3,866.02 = 1,962.49/x
  3. Step 3: Cross multiply
    2,804.40x = 3,866.02 × 1,962.49
  4. Step 4: Simplify right side
    2,804.40x = 7,587,025.59
  5. Step 5: Solve for x
    x = 7,587,025.59/2,804.40
  6. Step 6: Final answer
    x = 2,705.40

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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.