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Finding the Fourth Proportional to 11,869, 17,803.50 and 4,475.12

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Solution

The fourth proportional to 11,869, 17,803.50 and 4,475.12 is: 6,712.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,869 : 17,803.50 = 4,475.12 : x
  2. Step 2: Convert to fraction form
    11,869/17,803.50 = 4,475.12/x
  3. Step 3: Cross multiply
    11,869x = 17,803.50 × 4,475.12
  4. Step 4: Simplify right side
    11,869x = 79,672,798.92
  5. Step 5: Solve for x
    x = 79,672,798.92/11,869
  6. Step 6: Final answer
    x = 6,712.68

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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.