Home / 3,106.96-4,655.88-1,647.14

Finding the Fourth Proportional to 3,106.96, 4,655.88 and 1,647.14

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Solution

The fourth proportional to 3,106.96, 4,655.88 and 1,647.14 is: 2,468.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.96 : 4,655.88 = 1,647.14 : x
  2. Step 2: Convert to fraction form
    3,106.96/4,655.88 = 1,647.14/x
  3. Step 3: Cross multiply
    3,106.96x = 4,655.88 × 1,647.14
  4. Step 4: Simplify right side
    3,106.96x = 7,668,862.90
  5. Step 5: Solve for x
    x = 7,668,862.90/3,106.96
  6. Step 6: Final answer
    x = 2,468.29

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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.