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Finding the Fourth Proportional to 35,869, 53,812.14 and 11,245

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Solution

The fourth proportional to 35,869, 53,812.14 and 11,245 is: 16,870.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,869 : 53,812.14 = 11,245 : x
  2. Step 2: Convert to fraction form
    35,869/53,812.14 = 11,245/x
  3. Step 3: Cross multiply
    35,869x = 53,812.14 × 11,245
  4. Step 4: Simplify right side
    35,869x = 605,117,514.30
  5. Step 5: Solve for x
    x = 605,117,514.30/35,869
  6. Step 6: Final answer
    x = 16,870.21

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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.