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Finding the Fourth Proportional to 1,640.12, 2,263.14 and 1,051.45

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Solution

The fourth proportional to 1,640.12, 2,263.14 and 1,051.45 is: 1,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.12 : 2,263.14 = 1,051.45 : x
  2. Step 2: Convert to fraction form
    1,640.12/2,263.14 = 1,051.45/x
  3. Step 3: Cross multiply
    1,640.12x = 2,263.14 × 1,051.45
  4. Step 4: Simplify right side
    1,640.12x = 2,379,572.90
  5. Step 5: Solve for x
    x = 2,379,572.90/1,640.12
  6. Step 6: Final answer
    x = 1,450.86

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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.