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Finding the Fourth Proportional to 3,852.64, 5,782.20 and 1,663

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Solution

The fourth proportional to 3,852.64, 5,782.20 and 1,663 is: 2,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.64 : 5,782.20 = 1,663 : x
  2. Step 2: Convert to fraction form
    3,852.64/5,782.20 = 1,663/x
  3. Step 3: Cross multiply
    3,852.64x = 5,782.20 × 1,663
  4. Step 4: Simplify right side
    3,852.64x = 9,615,798.60
  5. Step 5: Solve for x
    x = 9,615,798.60/3,852.64
  6. Step 6: Final answer
    x = 2,495.90

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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.