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Finding the Fourth Proportional to 10,113.50, 15,171.06 and 3,188

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Solution

The fourth proportional to 10,113.50, 15,171.06 and 3,188 is: 4,782.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113.50 : 15,171.06 = 3,188 : x
  2. Step 2: Convert to fraction form
    10,113.50/15,171.06 = 3,188/x
  3. Step 3: Cross multiply
    10,113.50x = 15,171.06 × 3,188
  4. Step 4: Simplify right side
    10,113.50x = 48,365,339.28
  5. Step 5: Solve for x
    x = 48,365,339.28/10,113.50
  6. Step 6: Final answer
    x = 4,782.26

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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.