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Finding the Fourth Proportional to 8,605.37, 12,849.76 and 6,830.46

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Solution

The fourth proportional to 8,605.37, 12,849.76 and 6,830.46 is: 10,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,605.37 : 12,849.76 = 6,830.46 : x
  2. Step 2: Convert to fraction form
    8,605.37/12,849.76 = 6,830.46/x
  3. Step 3: Cross multiply
    8,605.37x = 12,849.76 × 6,830.46
  4. Step 4: Simplify right side
    8,605.37x = 87,769,707.44
  5. Step 5: Solve for x
    x = 87,769,707.44/8,605.37
  6. Step 6: Final answer
    x = 10,199.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.