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Finding the Fourth Proportional to 12,823.56, 17,691.48 and 7,785.99

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Solution

The fourth proportional to 12,823.56, 17,691.48 and 7,785.99 is: 10,741.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,823.56 : 17,691.48 = 7,785.99 : x
  2. Step 2: Convert to fraction form
    12,823.56/17,691.48 = 7,785.99/x
  3. Step 3: Cross multiply
    12,823.56x = 17,691.48 × 7,785.99
  4. Step 4: Simplify right side
    12,823.56x = 137,745,686.37
  5. Step 5: Solve for x
    x = 137,745,686.37/12,823.56
  6. Step 6: Final answer
    x = 10,741.61

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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.