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Finding the Fourth Proportional to 11,090.70, 16,588.05 and 9,929.10

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Solution

The fourth proportional to 11,090.70, 16,588.05 and 9,929.10 is: 14,850.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,090.70 : 16,588.05 = 9,929.10 : x
  2. Step 2: Convert to fraction form
    11,090.70/16,588.05 = 9,929.10/x
  3. Step 3: Cross multiply
    11,090.70x = 16,588.05 × 9,929.10
  4. Step 4: Simplify right side
    11,090.70x = 164,704,407.26
  5. Step 5: Solve for x
    x = 164,704,407.26/11,090.70
  6. Step 6: Final answer
    x = 14,850.68

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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.