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Finding the Fourth Proportional to 2,804.40, 4,210.65 and 1,986.30

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Solution

The fourth proportional to 2,804.40, 4,210.65 and 1,986.30 is: 2,982.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,804.40 : 4,210.65 = 1,986.30 : x
  2. Step 2: Convert to fraction form
    2,804.40/4,210.65 = 1,986.30/x
  3. Step 3: Cross multiply
    2,804.40x = 4,210.65 × 1,986.30
  4. Step 4: Simplify right side
    2,804.40x = 8,363,614.10
  5. Step 5: Solve for x
    x = 8,363,614.10/2,804.40
  6. Step 6: Final answer
    x = 2,982.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.