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Finding the Fourth Proportional to 13,915.44, 20,881.44 and 5,156.46

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Solution

The fourth proportional to 13,915.44, 20,881.44 and 5,156.46 is: 7,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915.44 : 20,881.44 = 5,156.46 : x
  2. Step 2: Convert to fraction form
    13,915.44/20,881.44 = 5,156.46/x
  3. Step 3: Cross multiply
    13,915.44x = 20,881.44 × 5,156.46
  4. Step 4: Simplify right side
    13,915.44x = 107,674,310.10
  5. Step 5: Solve for x
    x = 107,674,310.10/13,915.44
  6. Step 6: Final answer
    x = 7,737.76

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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.