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Finding the Fourth Proportional to 5,258, 7,886.98 and 3,609.54

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Solution

The fourth proportional to 5,258, 7,886.98 and 3,609.54 is: 5,414.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,258 : 7,886.98 = 3,609.54 : x
  2. Step 2: Convert to fraction form
    5,258/7,886.98 = 3,609.54/x
  3. Step 3: Cross multiply
    5,258x = 7,886.98 × 3,609.54
  4. Step 4: Simplify right side
    5,258x = 28,468,369.79
  5. Step 5: Solve for x
    x = 28,468,369.79/5,258
  6. Step 6: Final answer
    x = 5,414.30

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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.