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Finding the Fourth Proportional to 11,785.71, 16,247.53 and 9,374.54

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Solution

The fourth proportional to 11,785.71, 16,247.53 and 9,374.54 is: 12,923.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,785.71 : 16,247.53 = 9,374.54 : x
  2. Step 2: Convert to fraction form
    11,785.71/16,247.53 = 9,374.54/x
  3. Step 3: Cross multiply
    11,785.71x = 16,247.53 × 9,374.54
  4. Step 4: Simplify right side
    11,785.71x = 152,313,015.21
  5. Step 5: Solve for x
    x = 152,313,015.21/11,785.71
  6. Step 6: Final answer
    x = 12,923.53

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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.