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Finding the Fourth Proportional to 1,769.01, 2,650.82 and 1,402.89

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Solution

The fourth proportional to 1,769.01, 2,650.82 and 1,402.89 is: 2,102.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,769.01 : 2,650.82 = 1,402.89 : x
  2. Step 2: Convert to fraction form
    1,769.01/2,650.82 = 1,402.89/x
  3. Step 3: Cross multiply
    1,769.01x = 2,650.82 × 1,402.89
  4. Step 4: Simplify right side
    1,769.01x = 3,718,801.86
  5. Step 5: Solve for x
    x = 3,718,801.86/1,769.01
  6. Step 6: Final answer
    x = 2,102.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.