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Finding the Fourth Proportional to 3,640.68, 5,460.08 and 1,043.01

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Solution

The fourth proportional to 3,640.68, 5,460.08 and 1,043.01 is: 1,564.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.68 : 5,460.08 = 1,043.01 : x
  2. Step 2: Convert to fraction form
    3,640.68/5,460.08 = 1,043.01/x
  3. Step 3: Cross multiply
    3,640.68x = 5,460.08 × 1,043.01
  4. Step 4: Simplify right side
    3,640.68x = 5,694,912.83
  5. Step 5: Solve for x
    x = 5,694,912.83/3,640.68
  6. Step 6: Final answer
    x = 1,564.24

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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.