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Finding the Fourth Proportional to 8,378.94, 12,570.69 and 3,697.85

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Solution

The fourth proportional to 8,378.94, 12,570.69 and 3,697.85 is: 5,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.94 : 12,570.69 = 3,697.85 : x
  2. Step 2: Convert to fraction form
    8,378.94/12,570.69 = 3,697.85/x
  3. Step 3: Cross multiply
    8,378.94x = 12,570.69 × 3,697.85
  4. Step 4: Simplify right side
    8,378.94x = 46,484,571.31
  5. Step 5: Solve for x
    x = 46,484,571.31/8,378.94
  6. Step 6: Final answer
    x = 5,547.78

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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.