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Finding the Fourth Proportional to 10,930, 15,078 and 6,895

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Solution

The fourth proportional to 10,930, 15,078 and 6,895 is: 9,511.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930 : 15,078 = 6,895 : x
  2. Step 2: Convert to fraction form
    10,930/15,078 = 6,895/x
  3. Step 3: Cross multiply
    10,930x = 15,078 × 6,895
  4. Step 4: Simplify right side
    10,930x = 103,962,810
  5. Step 5: Solve for x
    x = 103,962,810/10,930
  6. Step 6: Final answer
    x = 9,511.69

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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.