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Finding the Fourth Proportional to 1,673.64, 2,510.73 and 851.58

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Solution

The fourth proportional to 1,673.64, 2,510.73 and 851.58 is: 1,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.64 : 2,510.73 = 851.58 : x
  2. Step 2: Convert to fraction form
    1,673.64/2,510.73 = 851.58/x
  3. Step 3: Cross multiply
    1,673.64x = 2,510.73 × 851.58
  4. Step 4: Simplify right side
    1,673.64x = 2,138,087.45
  5. Step 5: Solve for x
    x = 2,138,087.45/1,673.64
  6. Step 6: Final answer
    x = 1,277.51

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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.