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Finding the Fourth Proportional to 3,054.58, 4,580.96 and 862.72

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Solution

The fourth proportional to 3,054.58, 4,580.96 and 862.72 is: 1,293.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.58 : 4,580.96 = 862.72 : x
  2. Step 2: Convert to fraction form
    3,054.58/4,580.96 = 862.72/x
  3. Step 3: Cross multiply
    3,054.58x = 4,580.96 × 862.72
  4. Step 4: Simplify right side
    3,054.58x = 3,952,070.05
  5. Step 5: Solve for x
    x = 3,952,070.05/3,054.58
  6. Step 6: Final answer
    x = 1,293.82

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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.