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Finding the Fourth Proportional to 2,100.74, 3,151.57 and 640.00

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Solution

The fourth proportional to 2,100.74, 3,151.57 and 640.00 is: 960.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.74 : 3,151.57 = 640.00 : x
  2. Step 2: Convert to fraction form
    2,100.74/3,151.57 = 640.00/x
  3. Step 3: Cross multiply
    2,100.74x = 3,151.57 × 640.00
  4. Step 4: Simplify right side
    2,100.74x = 2,017,009.24
  5. Step 5: Solve for x
    x = 2,017,009.24/2,100.74
  6. Step 6: Final answer
    x = 960.14

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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.