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Finding the Fourth Proportional to 11,369.58, 15,684.57 and 7,391.94

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Solution

The fourth proportional to 11,369.58, 15,684.57 and 7,391.94 is: 10,197.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.58 : 15,684.57 = 7,391.94 : x
  2. Step 2: Convert to fraction form
    11,369.58/15,684.57 = 7,391.94/x
  3. Step 3: Cross multiply
    11,369.58x = 15,684.57 × 7,391.94
  4. Step 4: Simplify right side
    11,369.58x = 115,939,400.37
  5. Step 5: Solve for x
    x = 115,939,400.37/11,369.58
  6. Step 6: Final answer
    x = 10,197.33

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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.