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Finding the Fourth Proportional to 5,666.81, 7,821.44 and 3,149.78

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Solution

The fourth proportional to 5,666.81, 7,821.44 and 3,149.78 is: 4,347.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,666.81 : 7,821.44 = 3,149.78 : x
  2. Step 2: Convert to fraction form
    5,666.81/7,821.44 = 3,149.78/x
  3. Step 3: Cross multiply
    5,666.81x = 7,821.44 × 3,149.78
  4. Step 4: Simplify right side
    5,666.81x = 24,635,815.28
  5. Step 5: Solve for x
    x = 24,635,815.28/5,666.81
  6. Step 6: Final answer
    x = 4,347.39

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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.