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Finding the Fourth Proportional to 9,801, 13,525.38 and 5,385

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Solution

The fourth proportional to 9,801, 13,525.38 and 5,385 is: 7,431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 13,525.38 = 5,385 : x
  2. Step 2: Convert to fraction form
    9,801/13,525.38 = 5,385/x
  3. Step 3: Cross multiply
    9,801x = 13,525.38 × 5,385
  4. Step 4: Simplify right side
    9,801x = 72,834,171.30
  5. Step 5: Solve for x
    x = 72,834,171.30/9,801
  6. Step 6: Final answer
    x = 7,431.30

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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.