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Finding the Fourth Proportional to 2,980.64, 4,464.48 and 2,845.28

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Solution

The fourth proportional to 2,980.64, 4,464.48 and 2,845.28 is: 4,261.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,980.64 : 4,464.48 = 2,845.28 : x
  2. Step 2: Convert to fraction form
    2,980.64/4,464.48 = 2,845.28/x
  3. Step 3: Cross multiply
    2,980.64x = 4,464.48 × 2,845.28
  4. Step 4: Simplify right side
    2,980.64x = 12,702,695.65
  5. Step 5: Solve for x
    x = 12,702,695.65/2,980.64
  6. Step 6: Final answer
    x = 4,261.73

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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.