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Finding the Fourth Proportional to 9,992.90, 13,790.02 and 5,516.56

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Solution

The fourth proportional to 9,992.90, 13,790.02 and 5,516.56 is: 7,612.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,992.90 : 13,790.02 = 5,516.56 : x
  2. Step 2: Convert to fraction form
    9,992.90/13,790.02 = 5,516.56/x
  3. Step 3: Cross multiply
    9,992.90x = 13,790.02 × 5,516.56
  4. Step 4: Simplify right side
    9,992.90x = 76,073,424.47
  5. Step 5: Solve for x
    x = 76,073,424.47/9,992.90
  6. Step 6: Final answer
    x = 7,612.75

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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.