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Finding the Fourth Proportional to 2,242.89, 3,364.34 and 781.45

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Solution

The fourth proportional to 2,242.89, 3,364.34 and 781.45 is: 1,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.89 : 3,364.34 = 781.45 : x
  2. Step 2: Convert to fraction form
    2,242.89/3,364.34 = 781.45/x
  3. Step 3: Cross multiply
    2,242.89x = 3,364.34 × 781.45
  4. Step 4: Simplify right side
    2,242.89x = 2,629,051.17
  5. Step 5: Solve for x
    x = 2,629,051.17/2,242.89
  6. Step 6: Final answer
    x = 1,172.17

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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.