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Finding the Fourth Proportional to 3,045.65, 4,568.49 and 854.42

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Solution

The fourth proportional to 3,045.65, 4,568.49 and 854.42 is: 1,281.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.65 : 4,568.49 = 854.42 : x
  2. Step 2: Convert to fraction form
    3,045.65/4,568.49 = 854.42/x
  3. Step 3: Cross multiply
    3,045.65x = 4,568.49 × 854.42
  4. Step 4: Simplify right side
    3,045.65x = 3,903,386.38
  5. Step 5: Solve for x
    x = 3,903,386.38/3,045.65
  6. Step 6: Final answer
    x = 1,281.63

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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.