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Finding the Fourth Proportional to 5,645, 7,790.34 and 3,286.76

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Solution

The fourth proportional to 5,645, 7,790.34 and 3,286.76 is: 4,535.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645 : 7,790.34 = 3,286.76 : x
  2. Step 2: Convert to fraction form
    5,645/7,790.34 = 3,286.76/x
  3. Step 3: Cross multiply
    5,645x = 7,790.34 × 3,286.76
  4. Step 4: Simplify right side
    5,645x = 25,604,977.90
  5. Step 5: Solve for x
    x = 25,604,977.90/5,645
  6. Step 6: Final answer
    x = 4,535.87

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Half scale
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Double scale
Find fourth proportional to 5,646, 7,791.72 and 3,287.76
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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.