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Finding the Fourth Proportional to 2,021.32, 3,031.88 and 560.44

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Solution

The fourth proportional to 2,021.32, 3,031.88 and 560.44 is: 840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,021.32 : 3,031.88 = 560.44 : x
  2. Step 2: Convert to fraction form
    2,021.32/3,031.88 = 560.44/x
  3. Step 3: Cross multiply
    2,021.32x = 3,031.88 × 560.44
  4. Step 4: Simplify right side
    2,021.32x = 1,699,186.83
  5. Step 5: Solve for x
    x = 1,699,186.83/2,021.32
  6. Step 6: Final answer
    x = 840.63

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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.