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Finding the Fourth Proportional to 11,491.50, 15,857.86 and 7,022.74

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Solution

The fourth proportional to 11,491.50, 15,857.86 and 7,022.74 is: 9,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,491.50 : 15,857.86 = 7,022.74 : x
  2. Step 2: Convert to fraction form
    11,491.50/15,857.86 = 7,022.74/x
  3. Step 3: Cross multiply
    11,491.50x = 15,857.86 × 7,022.74
  4. Step 4: Simplify right side
    11,491.50x = 111,365,627.74
  5. Step 5: Solve for x
    x = 111,365,627.74/11,491.50
  6. Step 6: Final answer
    x = 9,691.13

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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.