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Finding the Fourth Proportional to 5,326.25, 7,990.68 and 1,678.25

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Solution

The fourth proportional to 5,326.25, 7,990.68 and 1,678.25 is: 2,517.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326.25 : 7,990.68 = 1,678.25 : x
  2. Step 2: Convert to fraction form
    5,326.25/7,990.68 = 1,678.25/x
  3. Step 3: Cross multiply
    5,326.25x = 7,990.68 × 1,678.25
  4. Step 4: Simplify right side
    5,326.25x = 13,410,350.32
  5. Step 5: Solve for x
    x = 13,410,350.32/5,326.25
  6. Step 6: Final answer
    x = 2,517.78

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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.