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Finding the Fourth Proportional to 10,866.88, 16,284.32 and 4,855.67

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Solution

The fourth proportional to 10,866.88, 16,284.32 and 4,855.67 is: 7,276.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.88 : 16,284.32 = 4,855.67 : x
  2. Step 2: Convert to fraction form
    10,866.88/16,284.32 = 4,855.67/x
  3. Step 3: Cross multiply
    10,866.88x = 16,284.32 × 4,855.67
  4. Step 4: Simplify right side
    10,866.88x = 79,071,284.09
  5. Step 5: Solve for x
    x = 79,071,284.09/10,866.88
  6. Step 6: Final answer
    x = 7,276.36

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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.