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Finding the Fourth Proportional to 4,578.69, 6,869.34 and 1,291.82

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Solution

The fourth proportional to 4,578.69, 6,869.34 and 1,291.82 is: 1,938.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.69 : 6,869.34 = 1,291.82 : x
  2. Step 2: Convert to fraction form
    4,578.69/6,869.34 = 1,291.82/x
  3. Step 3: Cross multiply
    4,578.69x = 6,869.34 × 1,291.82
  4. Step 4: Simplify right side
    4,578.69x = 8,873,916.45
  5. Step 5: Solve for x
    x = 8,873,916.45/4,578.69
  6. Step 6: Final answer
    x = 1,938.09

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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.