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Finding the Fourth Proportional to 13,885.41, 20,818.86 and 7,648.38

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Solution

The fourth proportional to 13,885.41, 20,818.86 and 7,648.38 is: 11,467.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,885.41 : 20,818.86 = 7,648.38 : x
  2. Step 2: Convert to fraction form
    13,885.41/20,818.86 = 7,648.38/x
  3. Step 3: Cross multiply
    13,885.41x = 20,818.86 × 7,648.38
  4. Step 4: Simplify right side
    13,885.41x = 159,230,552.45
  5. Step 5: Solve for x
    x = 159,230,552.45/13,885.41
  6. Step 6: Final answer
    x = 11,467.47

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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.