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Finding the Fourth Proportional to 6,502.56, 9,756.24 and 2,120.08

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Solution

The fourth proportional to 6,502.56, 9,756.24 and 2,120.08 is: 3,180.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.56 : 9,756.24 = 2,120.08 : x
  2. Step 2: Convert to fraction form
    6,502.56/9,756.24 = 2,120.08/x
  3. Step 3: Cross multiply
    6,502.56x = 9,756.24 × 2,120.08
  4. Step 4: Simplify right side
    6,502.56x = 20,684,009.30
  5. Step 5: Solve for x
    x = 20,684,009.30/6,502.56
  6. Step 6: Final answer
    x = 3,180.90

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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.