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Finding the Fourth Proportional to 6,520.50, 9,780.75 and 3,604.50

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Solution

The fourth proportional to 6,520.50, 9,780.75 and 3,604.50 is: 5,406.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.50 : 9,780.75 = 3,604.50 : x
  2. Step 2: Convert to fraction form
    6,520.50/9,780.75 = 3,604.50/x
  3. Step 3: Cross multiply
    6,520.50x = 9,780.75 × 3,604.50
  4. Step 4: Simplify right side
    6,520.50x = 35,254,713.38
  5. Step 5: Solve for x
    x = 35,254,713.38/6,520.50
  6. Step 6: Final answer
    x = 5,406.75

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1.5x scale

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.