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Finding the Fourth Proportional to 5,645, 7,790.20 and 3,378.68

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Solution

The fourth proportional to 5,645, 7,790.20 and 3,378.68 is: 4,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645 : 7,790.20 = 3,378.68 : x
  2. Step 2: Convert to fraction form
    5,645/7,790.20 = 3,378.68/x
  3. Step 3: Cross multiply
    5,645x = 7,790.20 × 3,378.68
  4. Step 4: Simplify right side
    5,645x = 26,320,592.94
  5. Step 5: Solve for x
    x = 26,320,592.94/5,645
  6. Step 6: Final answer
    x = 4,662.64

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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.