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Finding the Fourth Proportional to 1,680.64, 2,516.64 and 1,350.04

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Solution

The fourth proportional to 1,680.64, 2,516.64 and 1,350.04 is: 2,021.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.64 : 2,516.64 = 1,350.04 : x
  2. Step 2: Convert to fraction form
    1,680.64/2,516.64 = 1,350.04/x
  3. Step 3: Cross multiply
    1,680.64x = 2,516.64 × 1,350.04
  4. Step 4: Simplify right side
    1,680.64x = 3,397,564.67
  5. Step 5: Solve for x
    x = 3,397,564.67/1,680.64
  6. Step 6: Final answer
    x = 2,021.59

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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.