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Finding the Fourth Proportional to 3,878.49, 5,815.14 and 1,413

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Solution

The fourth proportional to 3,878.49, 5,815.14 and 1,413 is: 2,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,878.49 : 5,815.14 = 1,413 : x
  2. Step 2: Convert to fraction form
    3,878.49/5,815.14 = 1,413/x
  3. Step 3: Cross multiply
    3,878.49x = 5,815.14 × 1,413
  4. Step 4: Simplify right side
    3,878.49x = 8,216,792.82
  5. Step 5: Solve for x
    x = 8,216,792.82/3,878.49
  6. Step 6: Final answer
    x = 2,118.55

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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.