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Finding the Fourth Proportional to 2,242.55, 3,364.14 and 781.49

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Solution

The fourth proportional to 2,242.55, 3,364.14 and 781.49 is: 1,172.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.55 : 3,364.14 = 781.49 : x
  2. Step 2: Convert to fraction form
    2,242.55/3,364.14 = 781.49/x
  3. Step 3: Cross multiply
    2,242.55x = 3,364.14 × 781.49
  4. Step 4: Simplify right side
    2,242.55x = 2,629,041.77
  5. Step 5: Solve for x
    x = 2,629,041.77/2,242.55
  6. Step 6: Final answer
    x = 1,172.34

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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.