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Finding the Fourth Proportional to 5,562.38, 7,676.10 and 3,078.38

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Solution

The fourth proportional to 5,562.38, 7,676.10 and 3,078.38 is: 4,248.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.38 : 7,676.10 = 3,078.38 : x
  2. Step 2: Convert to fraction form
    5,562.38/7,676.10 = 3,078.38/x
  3. Step 3: Cross multiply
    5,562.38x = 7,676.10 × 3,078.38
  4. Step 4: Simplify right side
    5,562.38x = 23,629,914.34
  5. Step 5: Solve for x
    x = 23,629,914.34/5,562.38
  6. Step 6: Final answer
    x = 4,248.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.