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Finding the Fourth Proportional to 9,801, 13,525.98 and 5,552.46

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Solution

The fourth proportional to 9,801, 13,525.98 and 5,552.46 is: 7,662.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801 : 13,525.98 = 5,552.46 : x
  2. Step 2: Convert to fraction form
    9,801/13,525.98 = 5,552.46/x
  3. Step 3: Cross multiply
    9,801x = 13,525.98 × 5,552.46
  4. Step 4: Simplify right side
    9,801x = 75,102,462.91
  5. Step 5: Solve for x
    x = 75,102,462.91/9,801
  6. Step 6: Final answer
    x = 7,662.73

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1.5x scale

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.