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Finding the Fourth Proportional to 12,684.54, 17,504.46 and 7,018.86

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Solution

The fourth proportional to 12,684.54, 17,504.46 and 7,018.86 is: 9,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,684.54 : 17,504.46 = 7,018.86 : x
  2. Step 2: Convert to fraction form
    12,684.54/17,504.46 = 7,018.86/x
  3. Step 3: Cross multiply
    12,684.54x = 17,504.46 × 7,018.86
  4. Step 4: Simplify right side
    12,684.54x = 122,861,354.12
  5. Step 5: Solve for x
    x = 122,861,354.12/12,684.54
  6. Step 6: Final answer
    x = 9,685.91

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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.