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Finding the Fourth Proportional to 15,785.67, 21,784.13 and 8,712.09

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Solution

The fourth proportional to 15,785.67, 21,784.13 and 8,712.09 is: 12,022.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.67 : 21,784.13 = 8,712.09 : x
  2. Step 2: Convert to fraction form
    15,785.67/21,784.13 = 8,712.09/x
  3. Step 3: Cross multiply
    15,785.67x = 21,784.13 × 8,712.09
  4. Step 4: Simplify right side
    15,785.67x = 189,785,301.13
  5. Step 5: Solve for x
    x = 189,785,301.13/15,785.67
  6. Step 6: Final answer
    x = 12,022.63

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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.