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Finding the Fourth Proportional to 5,631.89, 7,771.87 and 3,113.94

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Solution

The fourth proportional to 5,631.89, 7,771.87 and 3,113.94 is: 4,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.89 : 7,771.87 = 3,113.94 : x
  2. Step 2: Convert to fraction form
    5,631.89/7,771.87 = 3,113.94/x
  3. Step 3: Cross multiply
    5,631.89x = 7,771.87 × 3,113.94
  4. Step 4: Simplify right side
    5,631.89x = 24,201,098.01
  5. Step 5: Solve for x
    x = 24,201,098.01/5,631.89
  6. Step 6: Final answer
    x = 4,297.15

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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.