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Finding the Fourth Proportional to 1,503.36, 2,074.62 and 943.64

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Solution

The fourth proportional to 1,503.36, 2,074.62 and 943.64 is: 1,302.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,503.36 : 2,074.62 = 943.64 : x
  2. Step 2: Convert to fraction form
    1,503.36/2,074.62 = 943.64/x
  3. Step 3: Cross multiply
    1,503.36x = 2,074.62 × 943.64
  4. Step 4: Simplify right side
    1,503.36x = 1,957,694.42
  5. Step 5: Solve for x
    x = 1,957,694.42/1,503.36
  6. Step 6: Final answer
    x = 1,302.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.