Home / 3,102.55-4,656.90-1,460.25

Finding the Fourth Proportional to 3,102.55, 4,656.90 and 1,460.25

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Solution

The fourth proportional to 3,102.55, 4,656.90 and 1,460.25 is: 2,191.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.55 : 4,656.90 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    3,102.55/4,656.90 = 1,460.25/x
  3. Step 3: Cross multiply
    3,102.55x = 4,656.90 × 1,460.25
  4. Step 4: Simplify right side
    3,102.55x = 6,800,243.70
  5. Step 5: Solve for x
    x = 6,800,243.70/3,102.55
  6. Step 6: Final answer
    x = 2,191.83

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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.