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Finding the Fourth Proportional to 11,271, 15,553.98 and 6,303

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Solution

The fourth proportional to 11,271, 15,553.98 and 6,303 is: 8,698.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,271 : 15,553.98 = 6,303 : x
  2. Step 2: Convert to fraction form
    11,271/15,553.98 = 6,303/x
  3. Step 3: Cross multiply
    11,271x = 15,553.98 × 6,303
  4. Step 4: Simplify right side
    11,271x = 98,036,735.94
  5. Step 5: Solve for x
    x = 98,036,735.94/11,271
  6. Step 6: Final answer
    x = 8,698.14

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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.