Home / 3,106.10-4,656.87-1,461.75

Finding the Fourth Proportional to 3,106.10, 4,656.87 and 1,461.75

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Solution

The fourth proportional to 3,106.10, 4,656.87 and 1,461.75 is: 2,191.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.10 : 4,656.87 = 1,461.75 : x
  2. Step 2: Convert to fraction form
    3,106.10/4,656.87 = 1,461.75/x
  3. Step 3: Cross multiply
    3,106.10x = 4,656.87 × 1,461.75
  4. Step 4: Simplify right side
    3,106.10x = 6,807,185.20
  5. Step 5: Solve for x
    x = 6,807,185.20/3,106.10
  6. Step 6: Final answer
    x = 2,191.55

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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.