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Finding the Fourth Proportional to 1,961.65, 2,706.24 and 1,215.10

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Solution

The fourth proportional to 1,961.65, 2,706.24 and 1,215.10 is: 1,676.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.65 : 2,706.24 = 1,215.10 : x
  2. Step 2: Convert to fraction form
    1,961.65/2,706.24 = 1,215.10/x
  3. Step 3: Cross multiply
    1,961.65x = 2,706.24 × 1,215.10
  4. Step 4: Simplify right side
    1,961.65x = 3,288,352.22
  5. Step 5: Solve for x
    x = 3,288,352.22/1,961.65
  6. Step 6: Final answer
    x = 1,676.32

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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.