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Finding the Fourth Proportional to 3,891.65, 5,357.93 and 3,464.24

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Solution

The fourth proportional to 3,891.65, 5,357.93 and 3,464.24 is: 4,769.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.65 : 5,357.93 = 3,464.24 : x
  2. Step 2: Convert to fraction form
    3,891.65/5,357.93 = 3,464.24/x
  3. Step 3: Cross multiply
    3,891.65x = 5,357.93 × 3,464.24
  4. Step 4: Simplify right side
    3,891.65x = 18,561,111.31
  5. Step 5: Solve for x
    x = 18,561,111.31/3,891.65
  6. Step 6: Final answer
    x = 4,769.48

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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.