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Finding the Fourth Proportional to 4,744.56, 7,116.03 and 1,281

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Solution

The fourth proportional to 4,744.56, 7,116.03 and 1,281 is: 1,921.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,744.56 : 7,116.03 = 1,281 : x
  2. Step 2: Convert to fraction form
    4,744.56/7,116.03 = 1,281/x
  3. Step 3: Cross multiply
    4,744.56x = 7,116.03 × 1,281
  4. Step 4: Simplify right side
    4,744.56x = 9,115,634.43
  5. Step 5: Solve for x
    x = 9,115,634.43/4,744.56
  6. Step 6: Final answer
    x = 1,921.28

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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.