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Finding the Fourth Proportional to 7,935, 10,945.74 and 4,949.40

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Solution

The fourth proportional to 7,935, 10,945.74 and 4,949.40 is: 6,827.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,935 : 10,945.74 = 4,949.40 : x
  2. Step 2: Convert to fraction form
    7,935/10,945.74 = 4,949.40/x
  3. Step 3: Cross multiply
    7,935x = 10,945.74 × 4,949.40
  4. Step 4: Simplify right side
    7,935x = 54,174,845.56
  5. Step 5: Solve for x
    x = 54,174,845.56/7,935
  6. Step 6: Final answer
    x = 6,827.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.