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Finding the Fourth Proportional to 3,450, 5,171.84 and 1,258.08

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Solution

The fourth proportional to 3,450, 5,171.84 and 1,258.08 is: 1,885.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 5,171.84 = 1,258.08 : x
  2. Step 2: Convert to fraction form
    3,450/5,171.84 = 1,258.08/x
  3. Step 3: Cross multiply
    3,450x = 5,171.84 × 1,258.08
  4. Step 4: Simplify right side
    3,450x = 6,506,588.47
  5. Step 5: Solve for x
    x = 6,506,588.47/3,450
  6. Step 6: Final answer
    x = 1,885.97

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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.