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Finding the Fourth Proportional to 3,054.47, 4,580.77 and 862.61

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Solution

The fourth proportional to 3,054.47, 4,580.77 and 862.61 is: 1,293.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.47 : 4,580.77 = 862.61 : x
  2. Step 2: Convert to fraction form
    3,054.47/4,580.77 = 862.61/x
  3. Step 3: Cross multiply
    3,054.47x = 4,580.77 × 862.61
  4. Step 4: Simplify right side
    3,054.47x = 3,951,418.01
  5. Step 5: Solve for x
    x = 3,951,418.01/3,054.47
  6. Step 6: Final answer
    x = 1,293.65

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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.