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Finding the Fourth Proportional to 2,005.66, 2,767.01 and 1,220.16

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Solution

The fourth proportional to 2,005.66, 2,767.01 and 1,220.16 is: 1,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.66 : 2,767.01 = 1,220.16 : x
  2. Step 2: Convert to fraction form
    2,005.66/2,767.01 = 1,220.16/x
  3. Step 3: Cross multiply
    2,005.66x = 2,767.01 × 1,220.16
  4. Step 4: Simplify right side
    2,005.66x = 3,376,206.06
  5. Step 5: Solve for x
    x = 3,376,206.06/2,005.66
  6. Step 6: Final answer
    x = 1,683.34

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Half scale
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1.5x scale

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.