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Finding the Fourth Proportional to 4,977.79, 7,464.16 and 2,205.32

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Solution

The fourth proportional to 4,977.79, 7,464.16 and 2,205.32 is: 3,306.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.79 : 7,464.16 = 2,205.32 : x
  2. Step 2: Convert to fraction form
    4,977.79/7,464.16 = 2,205.32/x
  3. Step 3: Cross multiply
    4,977.79x = 7,464.16 × 2,205.32
  4. Step 4: Simplify right side
    4,977.79x = 16,460,826.77
  5. Step 5: Solve for x
    x = 16,460,826.77/4,977.79
  6. Step 6: Final answer
    x = 3,306.86

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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.