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Finding the Fourth Proportional to 3,654, 5,039.40 and 2,254.32

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Solution

The fourth proportional to 3,654, 5,039.40 and 2,254.32 is: 3,109.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,654 : 5,039.40 = 2,254.32 : x
  2. Step 2: Convert to fraction form
    3,654/5,039.40 = 2,254.32/x
  3. Step 3: Cross multiply
    3,654x = 5,039.40 × 2,254.32
  4. Step 4: Simplify right side
    3,654x = 11,360,420.21
  5. Step 5: Solve for x
    x = 11,360,420.21/3,654
  6. Step 6: Final answer
    x = 3,109.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.