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Finding the Fourth Proportional to 11,265.40, 16,865.70 and 6,891.40

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Solution

The fourth proportional to 11,265.40, 16,865.70 and 6,891.40 is: 10,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,265.40 : 16,865.70 = 6,891.40 : x
  2. Step 2: Convert to fraction form
    11,265.40/16,865.70 = 6,891.40/x
  3. Step 3: Cross multiply
    11,265.40x = 16,865.70 × 6,891.40
  4. Step 4: Simplify right side
    11,265.40x = 116,228,284.98
  5. Step 5: Solve for x
    x = 116,228,284.98/11,265.40
  6. Step 6: Final answer
    x = 10,317.28

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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.