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Finding the Fourth Proportional to 11,504, 15,888.48 and 7,771.52

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Solution

The fourth proportional to 11,504, 15,888.48 and 7,771.52 is: 10,733.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,504 : 15,888.48 = 7,771.52 : x
  2. Step 2: Convert to fraction form
    11,504/15,888.48 = 7,771.52/x
  3. Step 3: Cross multiply
    11,504x = 15,888.48 × 7,771.52
  4. Step 4: Simplify right side
    11,504x = 123,477,640.09
  5. Step 5: Solve for x
    x = 123,477,640.09/11,504
  6. Step 6: Final answer
    x = 10,733.45

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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.