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Finding the Fourth Proportional to 11,287.92, 15,577.88 and 6,811.59

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Solution

The fourth proportional to 11,287.92, 15,577.88 and 6,811.59 is: 9,400.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.92 : 15,577.88 = 6,811.59 : x
  2. Step 2: Convert to fraction form
    11,287.92/15,577.88 = 6,811.59/x
  3. Step 3: Cross multiply
    11,287.92x = 15,577.88 × 6,811.59
  4. Step 4: Simplify right side
    11,287.92x = 106,110,131.63
  5. Step 5: Solve for x
    x = 106,110,131.63/11,287.92
  6. Step 6: Final answer
    x = 9,400.33

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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.