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Finding the Fourth Proportional to 3,407.46, 5,109.57 and 1,653.36

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Solution

The fourth proportional to 3,407.46, 5,109.57 and 1,653.36 is: 2,479.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,407.46 : 5,109.57 = 1,653.36 : x
  2. Step 2: Convert to fraction form
    3,407.46/5,109.57 = 1,653.36/x
  3. Step 3: Cross multiply
    3,407.46x = 5,109.57 × 1,653.36
  4. Step 4: Simplify right side
    3,407.46x = 8,447,958.66
  5. Step 5: Solve for x
    x = 8,447,958.66/3,407.46
  6. Step 6: Final answer
    x = 2,479.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.