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Finding the Fourth Proportional to 2,021.55, 3,032.33 and 560.58

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Solution

The fourth proportional to 2,021.55, 3,032.33 and 560.58 is: 840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.55 : 3,032.33 = 560.58 : x
  2. Step 2: Convert to fraction form
    2,021.55/3,032.33 = 560.58/x
  3. Step 3: Cross multiply
    2,021.55x = 3,032.33 × 560.58
  4. Step 4: Simplify right side
    2,021.55x = 1,699,860.75
  5. Step 5: Solve for x
    x = 1,699,860.75/2,021.55
  6. Step 6: Final answer
    x = 840.87

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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.