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Finding the Fourth Proportional to 3,309.78, 4,964.64 and 1,001.28

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Solution

The fourth proportional to 3,309.78, 4,964.64 and 1,001.28 is: 1,501.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.78 : 4,964.64 = 1,001.28 : x
  2. Step 2: Convert to fraction form
    3,309.78/4,964.64 = 1,001.28/x
  3. Step 3: Cross multiply
    3,309.78x = 4,964.64 × 1,001.28
  4. Step 4: Simplify right side
    3,309.78x = 4,970,994.74
  5. Step 5: Solve for x
    x = 4,970,994.74/3,309.78
  6. Step 6: Final answer
    x = 1,501.91

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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.