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Finding the Fourth Proportional to 3,405.68, 5,109.48 and 1,097.84

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Solution

The fourth proportional to 3,405.68, 5,109.48 and 1,097.84 is: 1,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.68 : 5,109.48 = 1,097.84 : x
  2. Step 2: Convert to fraction form
    3,405.68/5,109.48 = 1,097.84/x
  3. Step 3: Cross multiply
    3,405.68x = 5,109.48 × 1,097.84
  4. Step 4: Simplify right side
    3,405.68x = 5,609,391.52
  5. Step 5: Solve for x
    x = 5,609,391.52/3,405.68
  6. Step 6: Final answer
    x = 1,647.07

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1.5x scale

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.