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Finding the Fourth Proportional to 11,811.51, 17,682.95 and 6,866.07

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Solution

The fourth proportional to 11,811.51, 17,682.95 and 6,866.07 is: 10,279.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.51 : 17,682.95 = 6,866.07 : x
  2. Step 2: Convert to fraction form
    11,811.51/17,682.95 = 6,866.07/x
  3. Step 3: Cross multiply
    11,811.51x = 17,682.95 × 6,866.07
  4. Step 4: Simplify right side
    11,811.51x = 121,412,338.18
  5. Step 5: Solve for x
    x = 121,412,338.18/11,811.51
  6. Step 6: Final answer
    x = 10,279.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.