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Finding the Fourth Proportional to 9,910.38, 14,866.38 and 4,977.48

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Solution

The fourth proportional to 9,910.38, 14,866.38 and 4,977.48 is: 7,466.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.38 : 14,866.38 = 4,977.48 : x
  2. Step 2: Convert to fraction form
    9,910.38/14,866.38 = 4,977.48/x
  3. Step 3: Cross multiply
    9,910.38x = 14,866.38 × 4,977.48
  4. Step 4: Simplify right side
    9,910.38x = 73,997,109.12
  5. Step 5: Solve for x
    x = 73,997,109.12/9,910.38
  6. Step 6: Final answer
    x = 7,466.63

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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.