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Finding the Fourth Proportional to 12,523.86, 17,289.16 and 7,217.64

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Solution

The fourth proportional to 12,523.86, 17,289.16 and 7,217.64 is: 9,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.86 : 17,289.16 = 7,217.64 : x
  2. Step 2: Convert to fraction form
    12,523.86/17,289.16 = 7,217.64/x
  3. Step 3: Cross multiply
    12,523.86x = 17,289.16 × 7,217.64
  4. Step 4: Simplify right side
    12,523.86x = 124,786,914.74
  5. Step 5: Solve for x
    x = 124,786,914.74/12,523.86
  6. Step 6: Final answer
    x = 9,963.93

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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.