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Finding the Fourth Proportional to 13,894.72, 20,833.84 and 5,578.68

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Solution

The fourth proportional to 13,894.72, 20,833.84 and 5,578.68 is: 8,364.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,894.72 : 20,833.84 = 5,578.68 : x
  2. Step 2: Convert to fraction form
    13,894.72/20,833.84 = 5,578.68/x
  3. Step 3: Cross multiply
    13,894.72x = 20,833.84 × 5,578.68
  4. Step 4: Simplify right side
    13,894.72x = 116,225,326.53
  5. Step 5: Solve for x
    x = 116,225,326.53/13,894.72
  6. Step 6: Final answer
    x = 8,364.71

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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.