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Finding the Fourth Proportional to 2,000.96, 2,761.05 and 1,214.87

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Solution

The fourth proportional to 2,000.96, 2,761.05 and 1,214.87 is: 1,676.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.96 : 2,761.05 = 1,214.87 : x
  2. Step 2: Convert to fraction form
    2,000.96/2,761.05 = 1,214.87/x
  3. Step 3: Cross multiply
    2,000.96x = 2,761.05 × 1,214.87
  4. Step 4: Simplify right side
    2,000.96x = 3,354,316.81
  5. Step 5: Solve for x
    x = 3,354,316.81/2,000.96
  6. Step 6: Final answer
    x = 1,676.35

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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.