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Finding the Fourth Proportional to 9,949, 14,921.76 and 3,285.58

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Solution

The fourth proportional to 9,949, 14,921.76 and 3,285.58 is: 4,927.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,949 : 14,921.76 = 3,285.58 : x
  2. Step 2: Convert to fraction form
    9,949/14,921.76 = 3,285.58/x
  3. Step 3: Cross multiply
    9,949x = 14,921.76 × 3,285.58
  4. Step 4: Simplify right side
    9,949x = 49,026,636.22
  5. Step 5: Solve for x
    x = 49,026,636.22/9,949
  6. Step 6: Final answer
    x = 4,927.80

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1.5x scale

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.