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Finding the Fourth Proportional to 12,785.40, 17,655 and 8,605.80

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Solution

The fourth proportional to 12,785.40, 17,655 and 8,605.80 is: 11,883.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,785.40 : 17,655 = 8,605.80 : x
  2. Step 2: Convert to fraction form
    12,785.40/17,655 = 8,605.80/x
  3. Step 3: Cross multiply
    12,785.40x = 17,655 × 8,605.80
  4. Step 4: Simplify right side
    12,785.40x = 151,935,399
  5. Step 5: Solve for x
    x = 151,935,399/12,785.40
  6. Step 6: Final answer
    x = 11,883.51

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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.