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Finding the Fourth Proportional to 9,482.73, 13,086.30 and 5,233.98

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Solution

The fourth proportional to 9,482.73, 13,086.30 and 5,233.98 is: 7,222.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,482.73 : 13,086.30 = 5,233.98 : x
  2. Step 2: Convert to fraction form
    9,482.73/13,086.30 = 5,233.98/x
  3. Step 3: Cross multiply
    9,482.73x = 13,086.30 × 5,233.98
  4. Step 4: Simplify right side
    9,482.73x = 68,493,432.47
  5. Step 5: Solve for x
    x = 68,493,432.47/9,482.73
  6. Step 6: Final answer
    x = 7,222.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.