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Finding the Fourth Proportional to 3,045.72, 4,568.84 and 854.47

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Solution

The fourth proportional to 3,045.72, 4,568.84 and 854.47 is: 1,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.72 : 4,568.84 = 854.47 : x
  2. Step 2: Convert to fraction form
    3,045.72/4,568.84 = 854.47/x
  3. Step 3: Cross multiply
    3,045.72x = 4,568.84 × 854.47
  4. Step 4: Simplify right side
    3,045.72x = 3,903,936.71
  5. Step 5: Solve for x
    x = 3,903,936.71/3,045.72
  6. Step 6: Final answer
    x = 1,281.78

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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.