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Finding the Fourth Proportional to 4,760, 7,140 and 4,118.48

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Solution

The fourth proportional to 4,760, 7,140 and 4,118.48 is: 6,177.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760 : 7,140 = 4,118.48 : x
  2. Step 2: Convert to fraction form
    4,760/7,140 = 4,118.48/x
  3. Step 3: Cross multiply
    4,760x = 7,140 × 4,118.48
  4. Step 4: Simplify right side
    4,760x = 29,405,947.20
  5. Step 5: Solve for x
    x = 29,405,947.20/4,760
  6. Step 6: Final answer
    x = 6,177.72

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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.