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Finding the Fourth Proportional to 11,123, 15,349.74 and 6,155

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Solution

The fourth proportional to 11,123, 15,349.74 and 6,155 is: 8,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,123 : 15,349.74 = 6,155 : x
  2. Step 2: Convert to fraction form
    11,123/15,349.74 = 6,155/x
  3. Step 3: Cross multiply
    11,123x = 15,349.74 × 6,155
  4. Step 4: Simplify right side
    11,123x = 94,477,649.70
  5. Step 5: Solve for x
    x = 94,477,649.70/11,123
  6. Step 6: Final answer
    x = 8,493.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.