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Finding the Fourth Proportional to 9,894.43, 13,655.85 and 5,645.48

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Solution

The fourth proportional to 9,894.43, 13,655.85 and 5,645.48 is: 7,791.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.43 : 13,655.85 = 5,645.48 : x
  2. Step 2: Convert to fraction form
    9,894.43/13,655.85 = 5,645.48/x
  3. Step 3: Cross multiply
    9,894.43x = 13,655.85 × 5,645.48
  4. Step 4: Simplify right side
    9,894.43x = 77,093,828.06
  5. Step 5: Solve for x
    x = 77,093,828.06/9,894.43
  6. Step 6: Final answer
    x = 7,791.64

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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.