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Finding the Fourth Proportional to 11,951.64, 17,907.41 and 7,785.41

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Solution

The fourth proportional to 11,951.64, 17,907.41 and 7,785.41 is: 11,665.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.64 : 17,907.41 = 7,785.41 : x
  2. Step 2: Convert to fraction form
    11,951.64/17,907.41 = 7,785.41/x
  3. Step 3: Cross multiply
    11,951.64x = 17,907.41 × 7,785.41
  4. Step 4: Simplify right side
    11,951.64x = 139,416,400.42
  5. Step 5: Solve for x
    x = 139,416,400.42/11,951.64
  6. Step 6: Final answer
    x = 11,665.04

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.