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Finding the Fourth Proportional to 9,809, 13,536.42 and 5,393

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Solution

The fourth proportional to 9,809, 13,536.42 and 5,393 is: 7,442.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809 : 13,536.42 = 5,393 : x
  2. Step 2: Convert to fraction form
    9,809/13,536.42 = 5,393/x
  3. Step 3: Cross multiply
    9,809x = 13,536.42 × 5,393
  4. Step 4: Simplify right side
    9,809x = 73,001,913.06
  5. Step 5: Solve for x
    x = 73,001,913.06/9,809
  6. Step 6: Final answer
    x = 7,442.34

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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.