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Finding the Fourth Proportional to 2,100.12, 3,149.94 and 561

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Solution

The fourth proportional to 2,100.12, 3,149.94 and 561 is: 841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.12 : 3,149.94 = 561 : x
  2. Step 2: Convert to fraction form
    2,100.12/3,149.94 = 561/x
  3. Step 3: Cross multiply
    2,100.12x = 3,149.94 × 561
  4. Step 4: Simplify right side
    2,100.12x = 1,767,116.34
  5. Step 5: Solve for x
    x = 1,767,116.34/2,100.12
  6. Step 6: Final answer
    x = 841.44

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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.