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Finding the Fourth Proportional to 3,459.57, 5,190.86 and 1,815.72

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Solution

The fourth proportional to 3,459.57, 5,190.86 and 1,815.72 is: 2,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,459.57 : 5,190.86 = 1,815.72 : x
  2. Step 2: Convert to fraction form
    3,459.57/5,190.86 = 1,815.72/x
  3. Step 3: Cross multiply
    3,459.57x = 5,190.86 × 1,815.72
  4. Step 4: Simplify right side
    3,459.57x = 9,425,148.32
  5. Step 5: Solve for x
    x = 9,425,148.32/3,459.57
  6. Step 6: Final answer
    x = 2,724.37

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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.