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Finding the Fourth Proportional to 7,929.29, 10,942.43 and 4,945.12

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Solution

The fourth proportional to 7,929.29, 10,942.43 and 4,945.12 is: 6,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,929.29 : 10,942.43 = 4,945.12 : x
  2. Step 2: Convert to fraction form
    7,929.29/10,942.43 = 4,945.12/x
  3. Step 3: Cross multiply
    7,929.29x = 10,942.43 × 4,945.12
  4. Step 4: Simplify right side
    7,929.29x = 54,111,577.36
  5. Step 5: Solve for x
    x = 54,111,577.36/7,929.29
  6. Step 6: Final answer
    x = 6,824.26

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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.