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Finding the Fourth Proportional to 1,640.98, 2,451.01 and 1,484.56

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Solution

The fourth proportional to 1,640.98, 2,451.01 and 1,484.56 is: 2,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,640.98 : 2,451.01 = 1,484.56 : x
  2. Step 2: Convert to fraction form
    1,640.98/2,451.01 = 1,484.56/x
  3. Step 3: Cross multiply
    1,640.98x = 2,451.01 × 1,484.56
  4. Step 4: Simplify right side
    1,640.98x = 3,638,671.41
  5. Step 5: Solve for x
    x = 3,638,671.41/1,640.98
  6. Step 6: Final answer
    x = 2,217.38

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.