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Finding the Fourth Proportional to 9,980.91, 13,774.93 and 8,299.42

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Solution

The fourth proportional to 9,980.91, 13,774.93 and 8,299.42 is: 11,454.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.91 : 13,774.93 = 8,299.42 : x
  2. Step 2: Convert to fraction form
    9,980.91/13,774.93 = 8,299.42/x
  3. Step 3: Cross multiply
    9,980.91x = 13,774.93 × 8,299.42
  4. Step 4: Simplify right side
    9,980.91x = 114,323,929.54
  5. Step 5: Solve for x
    x = 114,323,929.54/9,980.91
  6. Step 6: Final answer
    x = 11,454.26

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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.