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Finding the Fourth Proportional to 9,477.83, 13,085.48 and 8,481.38

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Solution

The fourth proportional to 9,477.83, 13,085.48 and 8,481.38 is: 11,709.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.83 : 13,085.48 = 8,481.38 : x
  2. Step 2: Convert to fraction form
    9,477.83/13,085.48 = 8,481.38/x
  3. Step 3: Cross multiply
    9,477.83x = 13,085.48 × 8,481.38
  4. Step 4: Simplify right side
    9,477.83x = 110,982,884.14
  5. Step 5: Solve for x
    x = 110,982,884.14/9,477.83
  6. Step 6: Final answer
    x = 11,709.74

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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.