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Finding the Fourth Proportional to 11,089, 15,303.78 and 6,121.96

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Solution

The fourth proportional to 11,089, 15,303.78 and 6,121.96 is: 8,448.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089 : 15,303.78 = 6,121.96 : x
  2. Step 2: Convert to fraction form
    11,089/15,303.78 = 6,121.96/x
  3. Step 3: Cross multiply
    11,089x = 15,303.78 × 6,121.96
  4. Step 4: Simplify right side
    11,089x = 93,689,129.01
  5. Step 5: Solve for x
    x = 93,689,129.01/11,089
  6. Step 6: Final answer
    x = 8,448.83

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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.