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Finding the Fourth Proportional to 5,636.73, 7,776.83 and 3,278.42

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Solution

The fourth proportional to 5,636.73, 7,776.83 and 3,278.42 is: 4,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.73 : 7,776.83 = 3,278.42 : x
  2. Step 2: Convert to fraction form
    5,636.73/7,776.83 = 3,278.42/x
  3. Step 3: Cross multiply
    5,636.73x = 7,776.83 × 3,278.42
  4. Step 4: Simplify right side
    5,636.73x = 25,495,684.32
  5. Step 5: Solve for x
    x = 25,495,684.32/5,636.73
  6. Step 6: Final answer
    x = 4,523.13

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1.5x scale

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.