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Finding the Fourth Proportional to 1,682.64, 2,520.06 and 1,624.28

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Solution

The fourth proportional to 1,682.64, 2,520.06 and 1,624.28 is: 2,432.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682.64 : 2,520.06 = 1,624.28 : x
  2. Step 2: Convert to fraction form
    1,682.64/2,520.06 = 1,624.28/x
  3. Step 3: Cross multiply
    1,682.64x = 2,520.06 × 1,624.28
  4. Step 4: Simplify right side
    1,682.64x = 4,093,270.46
  5. Step 5: Solve for x
    x = 4,093,270.46/1,682.64
  6. Step 6: Final answer
    x = 2,432.65

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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.