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Finding the Fourth Proportional to 6,289.50, 8,676.21 and 3,770.40

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Solution

The fourth proportional to 6,289.50, 8,676.21 and 3,770.40 is: 5,201.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,289.50 : 8,676.21 = 3,770.40 : x
  2. Step 2: Convert to fraction form
    6,289.50/8,676.21 = 3,770.40/x
  3. Step 3: Cross multiply
    6,289.50x = 8,676.21 × 3,770.40
  4. Step 4: Simplify right side
    6,289.50x = 32,712,782.18
  5. Step 5: Solve for x
    x = 32,712,782.18/6,289.50
  6. Step 6: Final answer
    x = 5,201.17

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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.