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Finding the Fourth Proportional to 12,778, 19,150.77 and 5,750.49

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Solution

The fourth proportional to 12,778, 19,150.77 and 5,750.49 is: 8,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,778 : 19,150.77 = 5,750.49 : x
  2. Step 2: Convert to fraction form
    12,778/19,150.77 = 5,750.49/x
  3. Step 3: Cross multiply
    12,778x = 19,150.77 × 5,750.49
  4. Step 4: Simplify right side
    12,778x = 110,126,311.38
  5. Step 5: Solve for x
    x = 110,126,311.38/12,778
  6. Step 6: Final answer
    x = 8,618.43

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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.