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Finding the Fourth Proportional to 8,235.87, 12,346.58 and 4,278.80

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Solution

The fourth proportional to 8,235.87, 12,346.58 and 4,278.80 is: 6,414.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.87 : 12,346.58 = 4,278.80 : x
  2. Step 2: Convert to fraction form
    8,235.87/12,346.58 = 4,278.80/x
  3. Step 3: Cross multiply
    8,235.87x = 12,346.58 × 4,278.80
  4. Step 4: Simplify right side
    8,235.87x = 52,828,463.38
  5. Step 5: Solve for x
    x = 52,828,463.38/8,235.87
  6. Step 6: Final answer
    x = 6,414.44

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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.