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Finding the Fourth Proportional to 23,309, 34,963.77 and 5,778.98

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Solution

The fourth proportional to 23,309, 34,963.77 and 5,778.98 is: 8,668.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,309 : 34,963.77 = 5,778.98 : x
  2. Step 2: Convert to fraction form
    23,309/34,963.77 = 5,778.98/x
  3. Step 3: Cross multiply
    23,309x = 34,963.77 × 5,778.98
  4. Step 4: Simplify right side
    23,309x = 202,054,927.55
  5. Step 5: Solve for x
    x = 202,054,927.55/23,309
  6. Step 6: Final answer
    x = 8,668.54

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1.5x scale

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.