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Finding the Fourth Proportional to 2,114.76, 2,917.68 and 1,230.84

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Solution

The fourth proportional to 2,114.76, 2,917.68 and 1,230.84 is: 1,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.76 : 2,917.68 = 1,230.84 : x
  2. Step 2: Convert to fraction form
    2,114.76/2,917.68 = 1,230.84/x
  3. Step 3: Cross multiply
    2,114.76x = 2,917.68 × 1,230.84
  4. Step 4: Simplify right side
    2,114.76x = 3,591,197.25
  5. Step 5: Solve for x
    x = 3,591,197.25/2,114.76
  6. Step 6: Final answer
    x = 1,698.16

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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.