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Finding the Fourth Proportional to 1,878.89, 2,816.17 and 1,011.38

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Solution

The fourth proportional to 1,878.89, 2,816.17 and 1,011.38 is: 1,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878.89 : 2,816.17 = 1,011.38 : x
  2. Step 2: Convert to fraction form
    1,878.89/2,816.17 = 1,011.38/x
  3. Step 3: Cross multiply
    1,878.89x = 2,816.17 × 1,011.38
  4. Step 4: Simplify right side
    1,878.89x = 2,848,201.41
  5. Step 5: Solve for x
    x = 2,848,201.41/1,878.89
  6. Step 6: Final answer
    x = 1,515.90

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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.