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Finding the Fourth Proportional to 1,640.01, 2,460.42 and 1,505.01

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Solution

The fourth proportional to 1,640.01, 2,460.42 and 1,505.01 is: 2,257.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.01 : 2,460.42 = 1,505.01 : x
  2. Step 2: Convert to fraction form
    1,640.01/2,460.42 = 1,505.01/x
  3. Step 3: Cross multiply
    1,640.01x = 2,460.42 × 1,505.01
  4. Step 4: Simplify right side
    1,640.01x = 3,702,956.70
  5. Step 5: Solve for x
    x = 3,702,956.70/1,640.01
  6. Step 6: Final answer
    x = 2,257.89

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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.