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Finding the Fourth Proportional to 8,235.37, 12,345.82 and 4,278.30

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Solution

The fourth proportional to 8,235.37, 12,345.82 and 4,278.30 is: 6,413.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,235.37 : 12,345.82 = 4,278.30 : x
  2. Step 2: Convert to fraction form
    8,235.37/12,345.82 = 4,278.30/x
  3. Step 3: Cross multiply
    8,235.37x = 12,345.82 × 4,278.30
  4. Step 4: Simplify right side
    8,235.37x = 52,819,121.71
  5. Step 5: Solve for x
    x = 52,819,121.71/8,235.37
  6. Step 6: Final answer
    x = 6,413.69

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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.