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Finding the Fourth Proportional to 8,267.54, 11,409.15 and 7,071.00

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Solution

The fourth proportional to 8,267.54, 11,409.15 and 7,071.00 is: 9,757.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.54 : 11,409.15 = 7,071.00 : x
  2. Step 2: Convert to fraction form
    8,267.54/11,409.15 = 7,071.00/x
  3. Step 3: Cross multiply
    8,267.54x = 11,409.15 × 7,071.00
  4. Step 4: Simplify right side
    8,267.54x = 80,674,083.38
  5. Step 5: Solve for x
    x = 80,674,083.38/8,267.54
  6. Step 6: Final answer
    x = 9,757.93

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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.