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Finding the Fourth Proportional to 3,150, 4,728.64 and 2,457.44

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Solution

The fourth proportional to 3,150, 4,728.64 and 2,457.44 is: 3,689.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,150 : 4,728.64 = 2,457.44 : x
  2. Step 2: Convert to fraction form
    3,150/4,728.64 = 2,457.44/x
  3. Step 3: Cross multiply
    3,150x = 4,728.64 × 2,457.44
  4. Step 4: Simplify right side
    3,150x = 11,620,349.08
  5. Step 5: Solve for x
    x = 11,620,349.08/3,150
  6. Step 6: Final answer
    x = 3,689.00

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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.