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Finding the Fourth Proportional to 9,993.47, 13,792.16 and 8,311.91

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Solution

The fourth proportional to 9,993.47, 13,792.16 and 8,311.91 is: 11,471.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,993.47 : 13,792.16 = 8,311.91 : x
  2. Step 2: Convert to fraction form
    9,993.47/13,792.16 = 8,311.91/x
  3. Step 3: Cross multiply
    9,993.47x = 13,792.16 × 8,311.91
  4. Step 4: Simplify right side
    9,993.47x = 114,639,151.07
  5. Step 5: Solve for x
    x = 114,639,151.07/9,993.47
  6. Step 6: Final answer
    x = 11,471.41

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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.