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Finding the Fourth Proportional to 2,089, 2,882.82 and 1,157.68

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Solution

The fourth proportional to 2,089, 2,882.82 and 1,157.68 is: 1,597.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,089 : 2,882.82 = 1,157.68 : x
  2. Step 2: Convert to fraction form
    2,089/2,882.82 = 1,157.68/x
  3. Step 3: Cross multiply
    2,089x = 2,882.82 × 1,157.68
  4. Step 4: Simplify right side
    2,089x = 3,337,383.06
  5. Step 5: Solve for x
    x = 3,337,383.06/2,089
  6. Step 6: Final answer
    x = 1,597.60

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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.