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Finding the Fourth Proportional to 2,101.74, 3,152.94 and 640.77

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Solution

The fourth proportional to 2,101.74, 3,152.94 and 640.77 is: 961.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101.74 : 3,152.94 = 640.77 : x
  2. Step 2: Convert to fraction form
    2,101.74/3,152.94 = 640.77/x
  3. Step 3: Cross multiply
    2,101.74x = 3,152.94 × 640.77
  4. Step 4: Simplify right side
    2,101.74x = 2,020,309.36
  5. Step 5: Solve for x
    x = 2,020,309.36/2,101.74
  6. Step 6: Final answer
    x = 961.26

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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.