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Finding the Fourth Proportional to 6,139.96, 9,202.80 and 3,509.32

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Solution

The fourth proportional to 6,139.96, 9,202.80 and 3,509.32 is: 5,259.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.96 : 9,202.80 = 3,509.32 : x
  2. Step 2: Convert to fraction form
    6,139.96/9,202.80 = 3,509.32/x
  3. Step 3: Cross multiply
    6,139.96x = 9,202.80 × 3,509.32
  4. Step 4: Simplify right side
    6,139.96x = 32,295,570.10
  5. Step 5: Solve for x
    x = 32,295,570.10/6,139.96
  6. Step 6: Final answer
    x = 5,259.90

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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.