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Finding the Fourth Proportional to 11,491.63, 15,858.05 and 7,022.86

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Solution

The fourth proportional to 11,491.63, 15,858.05 and 7,022.86 is: 9,691.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.63 : 15,858.05 = 7,022.86 : x
  2. Step 2: Convert to fraction form
    11,491.63/15,858.05 = 7,022.86/x
  3. Step 3: Cross multiply
    11,491.63x = 15,858.05 × 7,022.86
  4. Step 4: Simplify right side
    11,491.63x = 111,368,790.26
  5. Step 5: Solve for x
    x = 111,368,790.26/11,491.63
  6. Step 6: Final answer
    x = 9,691.30

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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.