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Finding the Fourth Proportional to 3,264.64, 4,896.96 and 1,415.20

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Solution

The fourth proportional to 3,264.64, 4,896.96 and 1,415.20 is: 2,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.64 : 4,896.96 = 1,415.20 : x
  2. Step 2: Convert to fraction form
    3,264.64/4,896.96 = 1,415.20/x
  3. Step 3: Cross multiply
    3,264.64x = 4,896.96 × 1,415.20
  4. Step 4: Simplify right side
    3,264.64x = 6,930,177.79
  5. Step 5: Solve for x
    x = 6,930,177.79/3,264.64
  6. Step 6: Final answer
    x = 2,122.80

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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.