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Finding the Fourth Proportional to 6,415.52, 9,628.32 and 3,295.40

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Solution

The fourth proportional to 6,415.52, 9,628.32 and 3,295.40 is: 4,945.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.52 : 9,628.32 = 3,295.40 : x
  2. Step 2: Convert to fraction form
    6,415.52/9,628.32 = 3,295.40/x
  3. Step 3: Cross multiply
    6,415.52x = 9,628.32 × 3,295.40
  4. Step 4: Simplify right side
    6,415.52x = 31,729,165.73
  5. Step 5: Solve for x
    x = 31,729,165.73/6,415.52
  6. Step 6: Final answer
    x = 4,945.69

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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.