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Finding the Fourth Proportional to 15,785.88, 21,785.22 and 9,073.68

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Solution

The fourth proportional to 15,785.88, 21,785.22 and 9,073.68 is: 12,522.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.88 : 21,785.22 = 9,073.68 : x
  2. Step 2: Convert to fraction form
    15,785.88/21,785.22 = 9,073.68/x
  3. Step 3: Cross multiply
    15,785.88x = 21,785.22 × 9,073.68
  4. Step 4: Simplify right side
    15,785.88x = 197,672,115.01
  5. Step 5: Solve for x
    x = 197,672,115.01/15,785.88
  6. Step 6: Final answer
    x = 12,522.08

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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.