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Finding the Fourth Proportional to 3,042.77, 4,564.22 and 851.51

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Solution

The fourth proportional to 3,042.77, 4,564.22 and 851.51 is: 1,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.77 : 4,564.22 = 851.51 : x
  2. Step 2: Convert to fraction form
    3,042.77/4,564.22 = 851.51/x
  3. Step 3: Cross multiply
    3,042.77x = 4,564.22 × 851.51
  4. Step 4: Simplify right side
    3,042.77x = 3,886,486.13
  5. Step 5: Solve for x
    x = 3,886,486.13/3,042.77
  6. Step 6: Final answer
    x = 1,277.29

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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.