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Finding the Fourth Proportional to 3,461.65, 4,777.02 and 1,949.22

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Solution

The fourth proportional to 3,461.65, 4,777.02 and 1,949.22 is: 2,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,461.65 : 4,777.02 = 1,949.22 : x
  2. Step 2: Convert to fraction form
    3,461.65/4,777.02 = 1,949.22/x
  3. Step 3: Cross multiply
    3,461.65x = 4,777.02 × 1,949.22
  4. Step 4: Simplify right side
    3,461.65x = 9,311,462.92
  5. Step 5: Solve for x
    x = 9,311,462.92/3,461.65
  6. Step 6: Final answer
    x = 2,689.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.