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Finding the Fourth Proportional to 2,114.67, 2,914.74 and 1,938.18

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Solution

The fourth proportional to 2,114.67, 2,914.74 and 1,938.18 is: 2,671.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.67 : 2,914.74 = 1,938.18 : x
  2. Step 2: Convert to fraction form
    2,114.67/2,914.74 = 1,938.18/x
  3. Step 3: Cross multiply
    2,114.67x = 2,914.74 × 1,938.18
  4. Step 4: Simplify right side
    2,114.67x = 5,649,290.77
  5. Step 5: Solve for x
    x = 5,649,290.77/2,114.67
  6. Step 6: Final answer
    x = 2,671.48

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Half scale
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Double scale
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Similar ratio
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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.