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Finding the Fourth Proportional to 4,977.15, 7,460.48 and 2,506.78

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Solution

The fourth proportional to 4,977.15, 7,460.48 and 2,506.78 is: 3,757.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.15 : 7,460.48 = 2,506.78 : x
  2. Step 2: Convert to fraction form
    4,977.15/7,460.48 = 2,506.78/x
  3. Step 3: Cross multiply
    4,977.15x = 7,460.48 × 2,506.78
  4. Step 4: Simplify right side
    4,977.15x = 18,701,782.05
  5. Step 5: Solve for x
    x = 18,701,782.05/4,977.15
  6. Step 6: Final answer
    x = 3,757.53

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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.