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Finding the Fourth Proportional to 11,868.75, 16,379.16 and 7,684.29

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Solution

The fourth proportional to 11,868.75, 16,379.16 and 7,684.29 is: 10,604.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,868.75 : 16,379.16 = 7,684.29 : x
  2. Step 2: Convert to fraction form
    11,868.75/16,379.16 = 7,684.29/x
  3. Step 3: Cross multiply
    11,868.75x = 16,379.16 × 7,684.29
  4. Step 4: Simplify right side
    11,868.75x = 125,862,215.40
  5. Step 5: Solve for x
    x = 125,862,215.40/11,868.75
  6. Step 6: Final answer
    x = 10,604.50

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1.5x scale

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.