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Finding the Fourth Proportional to 2,021.70, 3,032.54 and 560.85

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Solution

The fourth proportional to 2,021.70, 3,032.54 and 560.85 is: 841.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.70 : 3,032.54 = 560.85 : x
  2. Step 2: Convert to fraction form
    2,021.70/3,032.54 = 560.85/x
  3. Step 3: Cross multiply
    2,021.70x = 3,032.54 × 560.85
  4. Step 4: Simplify right side
    2,021.70x = 1,700,799.67
  5. Step 5: Solve for x
    x = 1,700,799.67/2,021.70
  6. Step 6: Final answer
    x = 841.27

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1.5x scale

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.