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Finding the Fourth Proportional to 4,976.83, 7,454.31 and 4,877.20

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Solution

The fourth proportional to 4,976.83, 7,454.31 and 4,877.20 is: 7,305.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,976.83 : 7,454.31 = 4,877.20 : x
  2. Step 2: Convert to fraction form
    4,976.83/7,454.31 = 4,877.20/x
  3. Step 3: Cross multiply
    4,976.83x = 7,454.31 × 4,877.20
  4. Step 4: Simplify right side
    4,976.83x = 36,356,160.73
  5. Step 5: Solve for x
    x = 36,356,160.73/4,976.83
  6. Step 6: Final answer
    x = 7,305.08

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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.