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Finding the Fourth Proportional to 6,523.40, 9,000.90 and 3,871.67

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Solution

The fourth proportional to 6,523.40, 9,000.90 and 3,871.67 is: 5,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.40 : 9,000.90 = 3,871.67 : x
  2. Step 2: Convert to fraction form
    6,523.40/9,000.90 = 3,871.67/x
  3. Step 3: Cross multiply
    6,523.40x = 9,000.90 × 3,871.67
  4. Step 4: Simplify right side
    6,523.40x = 34,848,469.50
  5. Step 5: Solve for x
    x = 34,848,469.50/6,523.40
  6. Step 6: Final answer
    x = 5,342.08

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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.