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Finding the Fourth Proportional to 9,491.52, 13,085.12 and 8,179.20

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Solution

The fourth proportional to 9,491.52, 13,085.12 and 8,179.20 is: 11,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,491.52 : 13,085.12 = 8,179.20 : x
  2. Step 2: Convert to fraction form
    9,491.52/13,085.12 = 8,179.20/x
  3. Step 3: Cross multiply
    9,491.52x = 13,085.12 × 8,179.20
  4. Step 4: Simplify right side
    9,491.52x = 107,025,813.50
  5. Step 5: Solve for x
    x = 107,025,813.50/9,491.52
  6. Step 6: Final answer
    x = 11,275.94

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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.