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Finding the Fourth Proportional to 11,110.70, 16,666.05 and 9,857.90

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Solution

The fourth proportional to 11,110.70, 16,666.05 and 9,857.90 is: 14,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,110.70 : 16,666.05 = 9,857.90 : x
  2. Step 2: Convert to fraction form
    11,110.70/16,666.05 = 9,857.90/x
  3. Step 3: Cross multiply
    11,110.70x = 16,666.05 × 9,857.90
  4. Step 4: Simplify right side
    11,110.70x = 164,292,254.30
  5. Step 5: Solve for x
    x = 164,292,254.30/11,110.70
  6. Step 6: Final answer
    x = 14,786.85

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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.