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Finding the Fourth Proportional to 3,752.64, 5,621.40 and 1,775.28

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Solution

The fourth proportional to 3,752.64, 5,621.40 and 1,775.28 is: 2,659.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.64 : 5,621.40 = 1,775.28 : x
  2. Step 2: Convert to fraction form
    3,752.64/5,621.40 = 1,775.28/x
  3. Step 3: Cross multiply
    3,752.64x = 5,621.40 × 1,775.28
  4. Step 4: Simplify right side
    3,752.64x = 9,979,558.99
  5. Step 5: Solve for x
    x = 9,979,558.99/3,752.64
  6. Step 6: Final answer
    x = 2,659.34

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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.