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Finding the Fourth Proportional to 5,409, 7,464.69 and 3,171.51

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Solution

The fourth proportional to 5,409, 7,464.69 and 3,171.51 is: 4,376.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409 : 7,464.69 = 3,171.51 : x
  2. Step 2: Convert to fraction form
    5,409/7,464.69 = 3,171.51/x
  3. Step 3: Cross multiply
    5,409x = 7,464.69 × 3,171.51
  4. Step 4: Simplify right side
    5,409x = 23,674,338.98
  5. Step 5: Solve for x
    x = 23,674,338.98/5,409
  6. Step 6: Final answer
    x = 4,376.84

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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.