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Finding the Fourth Proportional to 9,983.91, 13,779.08 and 8,302.43

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Solution

The fourth proportional to 9,983.91, 13,779.08 and 8,302.43 is: 11,458.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983.91 : 13,779.08 = 8,302.43 : x
  2. Step 2: Convert to fraction form
    9,983.91/13,779.08 = 8,302.43/x
  3. Step 3: Cross multiply
    9,983.91x = 13,779.08 × 8,302.43
  4. Step 4: Simplify right side
    9,983.91x = 114,399,736.76
  5. Step 5: Solve for x
    x = 114,399,736.76/9,983.91
  6. Step 6: Final answer
    x = 11,458.41

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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.