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Finding the Fourth Proportional to 10,258, 14,161.80 and 7,863.44

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Solution

The fourth proportional to 10,258, 14,161.80 and 7,863.44 is: 10,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258 : 14,161.80 = 7,863.44 : x
  2. Step 2: Convert to fraction form
    10,258/14,161.80 = 7,863.44/x
  3. Step 3: Cross multiply
    10,258x = 14,161.80 × 7,863.44
  4. Step 4: Simplify right side
    10,258x = 111,360,464.59
  5. Step 5: Solve for x
    x = 111,360,464.59/10,258
  6. Step 6: Final answer
    x = 10,855.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.