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Finding the Fourth Proportional to 5,671.85, 8,507.78 and 1,776.56

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Solution

The fourth proportional to 5,671.85, 8,507.78 and 1,776.56 is: 2,664.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.85 : 8,507.78 = 1,776.56 : x
  2. Step 2: Convert to fraction form
    5,671.85/8,507.78 = 1,776.56/x
  3. Step 3: Cross multiply
    5,671.85x = 8,507.78 × 1,776.56
  4. Step 4: Simplify right side
    5,671.85x = 15,114,607.35
  5. Step 5: Solve for x
    x = 15,114,607.35/5,671.85
  6. Step 6: Final answer
    x = 2,664.84

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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.