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Finding the Fourth Proportional to 9,910.90, 14,867.04 and 2,890.80

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Solution

The fourth proportional to 9,910.90, 14,867.04 and 2,890.80 is: 4,336.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.90 : 14,867.04 = 2,890.80 : x
  2. Step 2: Convert to fraction form
    9,910.90/14,867.04 = 2,890.80/x
  3. Step 3: Cross multiply
    9,910.90x = 14,867.04 × 2,890.80
  4. Step 4: Simplify right side
    9,910.90x = 42,977,684.14
  5. Step 5: Solve for x
    x = 42,977,684.14/9,910.90
  6. Step 6: Final answer
    x = 4,336.41

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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.