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Finding the Fourth Proportional to 2,781.69, 4,172.54 and 2,259.21

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Solution

The fourth proportional to 2,781.69, 4,172.54 and 2,259.21 is: 3,388.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781.69 : 4,172.54 = 2,259.21 : x
  2. Step 2: Convert to fraction form
    2,781.69/4,172.54 = 2,259.21/x
  3. Step 3: Cross multiply
    2,781.69x = 4,172.54 × 2,259.21
  4. Step 4: Simplify right side
    2,781.69x = 9,426,644.09
  5. Step 5: Solve for x
    x = 9,426,644.09/2,781.69
  6. Step 6: Final answer
    x = 3,388.82

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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.