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Finding the Fourth Proportional to 11,103.36, 16,622.64 and 9,618

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Solution

The fourth proportional to 11,103.36, 16,622.64 and 9,618 is: 14,398.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,103.36 : 16,622.64 = 9,618 : x
  2. Step 2: Convert to fraction form
    11,103.36/16,622.64 = 9,618/x
  3. Step 3: Cross multiply
    11,103.36x = 16,622.64 × 9,618
  4. Step 4: Simplify right side
    11,103.36x = 159,876,551.52
  5. Step 5: Solve for x
    x = 159,876,551.52/11,103.36
  6. Step 6: Final answer
    x = 14,398.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.