Home / 3,106.49-4,658.25-1,461.65

Finding the Fourth Proportional to 3,106.49, 4,658.25 and 1,461.65

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Solution

The fourth proportional to 3,106.49, 4,658.25 and 1,461.65 is: 2,191.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.49 : 4,658.25 = 1,461.65 : x
  2. Step 2: Convert to fraction form
    3,106.49/4,658.25 = 1,461.65/x
  3. Step 3: Cross multiply
    3,106.49x = 4,658.25 × 1,461.65
  4. Step 4: Simplify right side
    3,106.49x = 6,808,731.11
  5. Step 5: Solve for x
    x = 6,808,731.11/3,106.49
  6. Step 6: Final answer
    x = 2,191.78

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1.5x scale

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.