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Finding the Fourth Proportional to 10,866, 16,299.12 and 2,658

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Solution

The fourth proportional to 10,866, 16,299.12 and 2,658 is: 3,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 16,299.12 = 2,658 : x
  2. Step 2: Convert to fraction form
    10,866/16,299.12 = 2,658/x
  3. Step 3: Cross multiply
    10,866x = 16,299.12 × 2,658
  4. Step 4: Simplify right side
    10,866x = 43,323,060.96
  5. Step 5: Solve for x
    x = 43,323,060.96/10,866
  6. Step 6: Final answer
    x = 3,987.03

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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.