Home / 3,178.22-4,762.10-1,097.09

Finding the Fourth Proportional to 3,178.22, 4,762.10 and 1,097.09

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Solution

The fourth proportional to 3,178.22, 4,762.10 and 1,097.09 is: 1,643.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.22 : 4,762.10 = 1,097.09 : x
  2. Step 2: Convert to fraction form
    3,178.22/4,762.10 = 1,097.09/x
  3. Step 3: Cross multiply
    3,178.22x = 4,762.10 × 1,097.09
  4. Step 4: Simplify right side
    3,178.22x = 5,224,422.99
  5. Step 5: Solve for x
    x = 5,224,422.99/3,178.22
  6. Step 6: Final answer
    x = 1,643.82

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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.