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Finding the Fourth Proportional to 11,874.65, 17,813.48 and 4,378.70

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Solution

The fourth proportional to 11,874.65, 17,813.48 and 4,378.70 is: 6,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.65 : 17,813.48 = 4,378.70 : x
  2. Step 2: Convert to fraction form
    11,874.65/17,813.48 = 4,378.70/x
  3. Step 3: Cross multiply
    11,874.65x = 17,813.48 × 4,378.70
  4. Step 4: Simplify right side
    11,874.65x = 77,999,773.92
  5. Step 5: Solve for x
    x = 77,999,773.92/11,874.65
  6. Step 6: Final answer
    x = 6,568.60

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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.