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Finding the Fourth Proportional to 6,485.28, 8,949.18 and 3,652.50

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Solution

The fourth proportional to 6,485.28, 8,949.18 and 3,652.50 is: 5,040.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.28 : 8,949.18 = 3,652.50 : x
  2. Step 2: Convert to fraction form
    6,485.28/8,949.18 = 3,652.50/x
  3. Step 3: Cross multiply
    6,485.28x = 8,949.18 × 3,652.50
  4. Step 4: Simplify right side
    6,485.28x = 32,686,879.95
  5. Step 5: Solve for x
    x = 32,686,879.95/6,485.28
  6. Step 6: Final answer
    x = 5,040.16

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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.