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Finding the Fourth Proportional to 11,805.81, 16,296.44 and 7,828.26

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Solution

The fourth proportional to 11,805.81, 16,296.44 and 7,828.26 is: 10,805.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.81 : 16,296.44 = 7,828.26 : x
  2. Step 2: Convert to fraction form
    11,805.81/16,296.44 = 7,828.26/x
  3. Step 3: Cross multiply
    11,805.81x = 16,296.44 × 7,828.26
  4. Step 4: Simplify right side
    11,805.81x = 127,572,730.25
  5. Step 5: Solve for x
    x = 127,572,730.25/11,805.81
  6. Step 6: Final answer
    x = 10,805.93

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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.