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Finding the Fourth Proportional to 11,089, 15,302.82 and 6,121

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Solution

The fourth proportional to 11,089, 15,302.82 and 6,121 is: 8,446.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,089 : 15,302.82 = 6,121 : x
  2. Step 2: Convert to fraction form
    11,089/15,302.82 = 6,121/x
  3. Step 3: Cross multiply
    11,089x = 15,302.82 × 6,121
  4. Step 4: Simplify right side
    11,089x = 93,668,561.22
  5. Step 5: Solve for x
    x = 93,668,561.22/11,089
  6. Step 6: Final answer
    x = 8,446.98

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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.