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Finding the Fourth Proportional to 1,673.07, 2,511.92 and 851.91

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Solution

The fourth proportional to 1,673.07, 2,511.92 and 851.91 is: 1,279.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,673.07 : 2,511.92 = 851.91 : x
  2. Step 2: Convert to fraction form
    1,673.07/2,511.92 = 851.91/x
  3. Step 3: Cross multiply
    1,673.07x = 2,511.92 × 851.91
  4. Step 4: Simplify right side
    1,673.07x = 2,139,925.51
  5. Step 5: Solve for x
    x = 2,139,925.51/1,673.07
  6. Step 6: Final answer
    x = 1,279.04

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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.