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Finding the Fourth Proportional to 12,494.92, 17,246.12 and 7,784.68

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Solution

The fourth proportional to 12,494.92, 17,246.12 and 7,784.68 is: 10,744.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,494.92 : 17,246.12 = 7,784.68 : x
  2. Step 2: Convert to fraction form
    12,494.92/17,246.12 = 7,784.68/x
  3. Step 3: Cross multiply
    12,494.92x = 17,246.12 × 7,784.68
  4. Step 4: Simplify right side
    12,494.92x = 134,255,525.44
  5. Step 5: Solve for x
    x = 134,255,525.44/12,494.92
  6. Step 6: Final answer
    x = 10,744.81

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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.