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Finding the Fourth Proportional to 11,775.40, 16,249.92 and 6,470.08

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Solution

The fourth proportional to 11,775.40, 16,249.92 and 6,470.08 is: 8,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.40 : 16,249.92 = 6,470.08 : x
  2. Step 2: Convert to fraction form
    11,775.40/16,249.92 = 6,470.08/x
  3. Step 3: Cross multiply
    11,775.40x = 16,249.92 × 6,470.08
  4. Step 4: Simplify right side
    11,775.40x = 105,138,282.39
  5. Step 5: Solve for x
    x = 105,138,282.39/11,775.40
  6. Step 6: Final answer
    x = 8,928.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.