Home / 11,647-16,072.70-6,931.16

Finding the Fourth Proportional to 11,647, 16,072.70 and 6,931.16

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Solution

The fourth proportional to 11,647, 16,072.70 and 6,931.16 is: 9,564.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,647 : 16,072.70 = 6,931.16 : x
  2. Step 2: Convert to fraction form
    11,647/16,072.70 = 6,931.16/x
  3. Step 3: Cross multiply
    11,647x = 16,072.70 × 6,931.16
  4. Step 4: Simplify right side
    11,647x = 111,402,455.33
  5. Step 5: Solve for x
    x = 111,402,455.33/11,647
  6. Step 6: Final answer
    x = 9,564.91

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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.