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Finding the Fourth Proportional to 7,796, 10,767.20 and 6,048.80

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Solution

The fourth proportional to 7,796, 10,767.20 and 6,048.80 is: 8,354.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796 : 10,767.20 = 6,048.80 : x
  2. Step 2: Convert to fraction form
    7,796/10,767.20 = 6,048.80/x
  3. Step 3: Cross multiply
    7,796x = 10,767.20 × 6,048.80
  4. Step 4: Simplify right side
    7,796x = 65,128,639.36
  5. Step 5: Solve for x
    x = 65,128,639.36/7,796
  6. Step 6: Final answer
    x = 8,354.11

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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.