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Finding the Fourth Proportional to 21,742.86, 30,005.86 and 12,311.22

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Solution

The fourth proportional to 21,742.86, 30,005.86 and 12,311.22 is: 16,989.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,742.86 : 30,005.86 = 12,311.22 : x
  2. Step 2: Convert to fraction form
    21,742.86/30,005.86 = 12,311.22/x
  3. Step 3: Cross multiply
    21,742.86x = 30,005.86 × 12,311.22
  4. Step 4: Simplify right side
    21,742.86x = 369,408,743.75
  5. Step 5: Solve for x
    x = 369,408,743.75/21,742.86
  6. Step 6: Final answer
    x = 16,989.89

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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.