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Finding the Fourth Proportional to 1,832.19, 2,747.63 and 661.89

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Solution

The fourth proportional to 1,832.19, 2,747.63 and 661.89 is: 992.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,832.19 : 2,747.63 = 661.89 : x
  2. Step 2: Convert to fraction form
    1,832.19/2,747.63 = 661.89/x
  3. Step 3: Cross multiply
    1,832.19x = 2,747.63 × 661.89
  4. Step 4: Simplify right side
    1,832.19x = 1,818,627.86
  5. Step 5: Solve for x
    x = 1,818,627.86/1,832.19
  6. Step 6: Final answer
    x = 992.60

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Why These Related Problems?

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