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Finding the Fourth Proportional to 16,615.86, 22,929.81 and 9,163.86

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Solution

The fourth proportional to 16,615.86, 22,929.81 and 9,163.86 is: 12,646.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,615.86 : 22,929.81 = 9,163.86 : x
  2. Step 2: Convert to fraction form
    16,615.86/22,929.81 = 9,163.86/x
  3. Step 3: Cross multiply
    16,615.86x = 22,929.81 × 9,163.86
  4. Step 4: Simplify right side
    16,615.86x = 210,125,568.67
  5. Step 5: Solve for x
    x = 210,125,568.67/16,615.86
  6. Step 6: Final answer
    x = 12,646.08

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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.