Home / 2,969.08-4,097.18-1,642.80

Finding the Fourth Proportional to 2,969.08, 4,097.18 and 1,642.80

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Solution

The fourth proportional to 2,969.08, 4,097.18 and 1,642.80 is: 2,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.08 : 4,097.18 = 1,642.80 : x
  2. Step 2: Convert to fraction form
    2,969.08/4,097.18 = 1,642.80/x
  3. Step 3: Cross multiply
    2,969.08x = 4,097.18 × 1,642.80
  4. Step 4: Simplify right side
    2,969.08x = 6,730,847.30
  5. Step 5: Solve for x
    x = 6,730,847.30/2,969.08
  6. Step 6: Final answer
    x = 2,266.98

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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.