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Finding the Fourth Proportional to 43,964, 65,946.12 and 12,800

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Solution

The fourth proportional to 43,964, 65,946.12 and 12,800 is: 19,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,964 : 65,946.12 = 12,800 : x
  2. Step 2: Convert to fraction form
    43,964/65,946.12 = 12,800/x
  3. Step 3: Cross multiply
    43,964x = 65,946.12 × 12,800
  4. Step 4: Simplify right side
    43,964x = 844,110,336
  5. Step 5: Solve for x
    x = 844,110,336/43,964
  6. Step 6: Final answer
    x = 19,200.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.