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Finding the Fourth Proportional to 5,376.30, 8,061.81 and 1,678.92

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Solution

The fourth proportional to 5,376.30, 8,061.81 and 1,678.92 is: 2,517.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,376.30 : 8,061.81 = 1,678.92 : x
  2. Step 2: Convert to fraction form
    5,376.30/8,061.81 = 1,678.92/x
  3. Step 3: Cross multiply
    5,376.30x = 8,061.81 × 1,678.92
  4. Step 4: Simplify right side
    5,376.30x = 13,535,134.05
  5. Step 5: Solve for x
    x = 13,535,134.05/5,376.30
  6. Step 6: Final answer
    x = 2,517.56

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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.