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Finding the Fourth Proportional to 7,750.79, 10,696 and 4,213.92

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Solution

The fourth proportional to 7,750.79, 10,696 and 4,213.92 is: 5,815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.79 : 10,696 = 4,213.92 : x
  2. Step 2: Convert to fraction form
    7,750.79/10,696 = 4,213.92/x
  3. Step 3: Cross multiply
    7,750.79x = 10,696 × 4,213.92
  4. Step 4: Simplify right side
    7,750.79x = 45,072,088.32
  5. Step 5: Solve for x
    x = 45,072,088.32/7,750.79
  6. Step 6: Final answer
    x = 5,815.16

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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.