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Finding the Fourth Proportional to 11,091, 15,305.59 and 6,123

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Solution

The fourth proportional to 11,091, 15,305.59 and 6,123 is: 8,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091 : 15,305.59 = 6,123 : x
  2. Step 2: Convert to fraction form
    11,091/15,305.59 = 6,123/x
  3. Step 3: Cross multiply
    11,091x = 15,305.59 × 6,123
  4. Step 4: Simplify right side
    11,091x = 93,716,127.57
  5. Step 5: Solve for x
    x = 93,716,127.57/11,091
  6. Step 6: Final answer
    x = 8,449.75

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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.