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Finding the Fourth Proportional to 12,719.00, 19,084.65 and 7,785.97

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Solution

The fourth proportional to 12,719.00, 19,084.65 and 7,785.97 is: 11,682.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,719.00 : 19,084.65 = 7,785.97 : x
  2. Step 2: Convert to fraction form
    12,719.00/19,084.65 = 7,785.97/x
  3. Step 3: Cross multiply
    12,719.00x = 19,084.65 × 7,785.97
  4. Step 4: Simplify right side
    12,719.00x = 148,592,435.45
  5. Step 5: Solve for x
    x = 148,592,435.45/12,719.00
  6. Step 6: Final answer
    x = 11,682.71

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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.