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Finding the Fourth Proportional to 10,860, 16,262.43 and 9,100.38

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Solution

The fourth proportional to 10,860, 16,262.43 and 9,100.38 is: 13,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,860 : 16,262.43 = 9,100.38 : x
  2. Step 2: Convert to fraction form
    10,860/16,262.43 = 9,100.38/x
  3. Step 3: Cross multiply
    10,860x = 16,262.43 × 9,100.38
  4. Step 4: Simplify right side
    10,860x = 147,994,292.72
  5. Step 5: Solve for x
    x = 147,994,292.72/10,860
  6. Step 6: Final answer
    x = 13,627.47

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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.