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Finding the Fourth Proportional to 2,210.75, 3,051 and 1,266.84

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Solution

The fourth proportional to 2,210.75, 3,051 and 1,266.84 is: 1,748.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,210.75 : 3,051 = 1,266.84 : x
  2. Step 2: Convert to fraction form
    2,210.75/3,051 = 1,266.84/x
  3. Step 3: Cross multiply
    2,210.75x = 3,051 × 1,266.84
  4. Step 4: Simplify right side
    2,210.75x = 3,865,113.59
  5. Step 5: Solve for x
    x = 3,865,113.59/2,210.75
  6. Step 6: Final answer
    x = 1,748.33

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Half scale
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Double 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.