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Finding the Fourth Proportional to 11,173.80, 15,419.73 and 6,138

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Solution

The fourth proportional to 11,173.80, 15,419.73 and 6,138 is: 8,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,173.80 : 15,419.73 = 6,138 : x
  2. Step 2: Convert to fraction form
    11,173.80/15,419.73 = 6,138/x
  3. Step 3: Cross multiply
    11,173.80x = 15,419.73 × 6,138
  4. Step 4: Simplify right side
    11,173.80x = 94,646,302.74
  5. Step 5: Solve for x
    x = 94,646,302.74/11,173.80
  6. Step 6: Final answer
    x = 8,470.38

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1.5x scale

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.