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Finding the Fourth Proportional to 2,021.78, 3,032.68 and 560.83

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Solution

The fourth proportional to 2,021.78, 3,032.68 and 560.83 is: 841.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.78 : 3,032.68 = 560.83 : x
  2. Step 2: Convert to fraction form
    2,021.78/3,032.68 = 560.83/x
  3. Step 3: Cross multiply
    2,021.78x = 3,032.68 × 560.83
  4. Step 4: Simplify right side
    2,021.78x = 1,700,817.92
  5. Step 5: Solve for x
    x = 1,700,817.92/2,021.78
  6. Step 6: Final answer
    x = 841.25

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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.