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Finding the Fourth Proportional to 1,640.14, 2,264.15 and 1,051.01

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Solution

The fourth proportional to 1,640.14, 2,264.15 and 1,051.01 is: 1,450.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.14 : 2,264.15 = 1,051.01 : x
  2. Step 2: Convert to fraction form
    1,640.14/2,264.15 = 1,051.01/x
  3. Step 3: Cross multiply
    1,640.14x = 2,264.15 × 1,051.01
  4. Step 4: Simplify right side
    1,640.14x = 2,379,644.29
  5. Step 5: Solve for x
    x = 2,379,644.29/1,640.14
  6. Step 6: Final answer
    x = 1,450.88

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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.