Home / 2,969.34-4,097.84-1,643.10

Finding the Fourth Proportional to 2,969.34, 4,097.84 and 1,643.10

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Solution

The fourth proportional to 2,969.34, 4,097.84 and 1,643.10 is: 2,267.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.34 : 4,097.84 = 1,643.10 : x
  2. Step 2: Convert to fraction form
    2,969.34/4,097.84 = 1,643.10/x
  3. Step 3: Cross multiply
    2,969.34x = 4,097.84 × 1,643.10
  4. Step 4: Simplify right side
    2,969.34x = 6,733,144.52
  5. Step 5: Solve for x
    x = 6,733,144.52/2,969.34
  6. Step 6: Final answer
    x = 2,267.56

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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.