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Finding the Fourth Proportional to 2,803.65, 4,205.49 and 954.96

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Solution

The fourth proportional to 2,803.65, 4,205.49 and 954.96 is: 1,432.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.65 : 4,205.49 = 954.96 : x
  2. Step 2: Convert to fraction form
    2,803.65/4,205.49 = 954.96/x
  3. Step 3: Cross multiply
    2,803.65x = 4,205.49 × 954.96
  4. Step 4: Simplify right side
    2,803.65x = 4,016,074.73
  5. Step 5: Solve for x
    x = 4,016,074.73/2,803.65
  6. Step 6: Final answer
    x = 1,432.45

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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.