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Finding the Fourth Proportional to 4,642.65, 6,964.85 and 1,720.85

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Solution

The fourth proportional to 4,642.65, 6,964.85 and 1,720.85 is: 2,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.65 : 6,964.85 = 1,720.85 : x
  2. Step 2: Convert to fraction form
    4,642.65/6,964.85 = 1,720.85/x
  3. Step 3: Cross multiply
    4,642.65x = 6,964.85 × 1,720.85
  4. Step 4: Simplify right side
    4,642.65x = 11,985,431.60
  5. Step 5: Solve for x
    x = 11,985,431.60/4,642.65
  6. Step 6: Final answer
    x = 2,581.59

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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.