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Finding the Fourth Proportional to 12,299.74, 16,968.63 and 8,575.90

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Solution

The fourth proportional to 12,299.74, 16,968.63 and 8,575.90 is: 11,831.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,299.74 : 16,968.63 = 8,575.90 : x
  2. Step 2: Convert to fraction form
    12,299.74/16,968.63 = 8,575.90/x
  3. Step 3: Cross multiply
    12,299.74x = 16,968.63 × 8,575.90
  4. Step 4: Simplify right side
    12,299.74x = 145,521,274.02
  5. Step 5: Solve for x
    x = 145,521,274.02/12,299.74
  6. Step 6: Final answer
    x = 11,831.25

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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.