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Finding the Fourth Proportional to 9,906, 14,840.46 and 4,969.86

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Solution

The fourth proportional to 9,906, 14,840.46 and 4,969.86 is: 7,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906 : 14,840.46 = 4,969.86 : x
  2. Step 2: Convert to fraction form
    9,906/14,840.46 = 4,969.86/x
  3. Step 3: Cross multiply
    9,906x = 14,840.46 × 4,969.86
  4. Step 4: Simplify right side
    9,906x = 73,755,008.54
  5. Step 5: Solve for x
    x = 73,755,008.54/9,906
  6. Step 6: Final answer
    x = 7,445.49

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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.