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Finding the Fourth Proportional to 22,343.64, 30,830.79 and 12,910.38

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Solution

The fourth proportional to 22,343.64, 30,830.79 and 12,910.38 is: 17,814.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,343.64 : 30,830.79 = 12,910.38 : x
  2. Step 2: Convert to fraction form
    22,343.64/30,830.79 = 12,910.38/x
  3. Step 3: Cross multiply
    22,343.64x = 30,830.79 × 12,910.38
  4. Step 4: Simplify right side
    22,343.64x = 398,037,214.60
  5. Step 5: Solve for x
    x = 398,037,214.60/22,343.64
  6. Step 6: Final answer
    x = 17,814.34

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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.